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Finding the Third Proportional to 160,416 and 249,372

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Solution

The third proportional to 160,416 and 249,372 is: 387,657.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,416 : 249,372 = 249,372 : x
  2. Step 2: Convert to fraction form
    160,416/249,372 = 249,372/x
  3. Step 3: Cross multiply
    160,416x = 249,372 × 249,372
  4. Step 4: Simplify right side
    160,416x = 62,186,394,384
  5. Step 5: Solve for x
    x = 62,186,394,384/160,416
  6. Step 6: Final answer
    x = 387,657.06

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.