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Finding the Third Proportional to 229,442.75 and 492,099.75

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Solution

The third proportional to 229,442.75 and 492,099.75 is: 1,055,436.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,442.75 : 492,099.75 = 492,099.75 : x
  2. Step 2: Convert to fraction form
    229,442.75/492,099.75 = 492,099.75/x
  3. Step 3: Cross multiply
    229,442.75x = 492,099.75 × 492,099.75
  4. Step 4: Simplify right side
    229,442.75x = 242,162,163,950.06
  5. Step 5: Solve for x
    x = 242,162,163,950.06/229,442.75
  6. Step 6: Final answer
    x = 1,055,436.11

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.