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Finding the Third Proportional to 169,404.50 and 249,414

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Solution

The third proportional to 169,404.50 and 249,414 is: 367,211.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,404.50 : 249,414 = 249,414 : x
  2. Step 2: Convert to fraction form
    169,404.50/249,414 = 249,414/x
  3. Step 3: Cross multiply
    169,404.50x = 249,414 × 249,414
  4. Step 4: Simplify right side
    169,404.50x = 62,207,343,396
  5. Step 5: Solve for x
    x = 62,207,343,396/169,404.50
  6. Step 6: Final answer
    x = 367,211.87

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.