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Finding the Third Proportional to 229,466.25 and 492,150.94

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Solution

The third proportional to 229,466.25 and 492,150.94 is: 1,055,547.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,466.25 : 492,150.94 = 492,150.94 : x
  2. Step 2: Convert to fraction form
    229,466.25/492,150.94 = 492,150.94/x
  3. Step 3: Cross multiply
    229,466.25x = 492,150.94 × 492,150.94
  4. Step 4: Simplify right side
    229,466.25x = 242,212,545,282.13
  5. Step 5: Solve for x
    x = 242,212,545,282.13/229,466.25
  6. Step 6: Final answer
    x = 1,055,547.58

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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.