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Finding the Third Proportional to 160,344 and 249,246

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Solution

The third proportional to 160,344 and 249,246 is: 387,439.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,344 : 249,246 = 249,246 : x
  2. Step 2: Convert to fraction form
    160,344/249,246 = 249,246/x
  3. Step 3: Cross multiply
    160,344x = 249,246 × 249,246
  4. Step 4: Simplify right side
    160,344x = 62,123,568,516
  5. Step 5: Solve for x
    x = 62,123,568,516/160,344
  6. Step 6: Final answer
    x = 387,439.31

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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.