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Finding the Third Proportional to 162,997 and 249,339

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Solution

The third proportional to 162,997 and 249,339 is: 381,417.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,997 : 249,339 = 249,339 : x
  2. Step 2: Convert to fraction form
    162,997/249,339 = 249,339/x
  3. Step 3: Cross multiply
    162,997x = 249,339 × 249,339
  4. Step 4: Simplify right side
    162,997x = 62,169,936,921
  5. Step 5: Solve for x
    x = 62,169,936,921/162,997
  6. Step 6: Final answer
    x = 381,417.68

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.