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Finding the Third Proportional to 162,338 and 249,663

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Solution

The third proportional to 162,338 and 249,663 is: 383,961.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,338 : 249,663 = 249,663 : x
  2. Step 2: Convert to fraction form
    162,338/249,663 = 249,663/x
  3. Step 3: Cross multiply
    162,338x = 249,663 × 249,663
  4. Step 4: Simplify right side
    162,338x = 62,331,613,569
  5. Step 5: Solve for x
    x = 62,331,613,569/162,338
  6. Step 6: Final answer
    x = 383,961.94

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.