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Finding the Third Proportional to 162,348 and 242,862

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Solution

The third proportional to 162,348 and 242,862 is: 363,305.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,348 : 242,862 = 242,862 : x
  2. Step 2: Convert to fraction form
    162,348/242,862 = 242,862/x
  3. Step 3: Cross multiply
    162,348x = 242,862 × 242,862
  4. Step 4: Simplify right side
    162,348x = 58,981,951,044
  5. Step 5: Solve for x
    x = 58,981,951,044/162,348
  6. Step 6: Final answer
    x = 363,305.68

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.