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Finding the Third Proportional to 229,441.50 and 492,097.22

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Solution

The third proportional to 229,441.50 and 492,097.22 is: 1,055,431.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,441.50 : 492,097.22 = 492,097.22 : x
  2. Step 2: Convert to fraction form
    229,441.50/492,097.22 = 492,097.22/x
  3. Step 3: Cross multiply
    229,441.50x = 492,097.22 × 492,097.22
  4. Step 4: Simplify right side
    229,441.50x = 242,159,672,701.49
  5. Step 5: Solve for x
    x = 242,159,672,701.49/229,441.50
  6. Step 6: Final answer
    x = 1,055,431.00

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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.