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Finding the Third Proportional to 159,363 and 344,862

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Solution

The third proportional to 159,363 and 344,862 is: 746,282.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,363 : 344,862 = 344,862 : x
  2. Step 2: Convert to fraction form
    159,363/344,862 = 344,862/x
  3. Step 3: Cross multiply
    159,363x = 344,862 × 344,862
  4. Step 4: Simplify right side
    159,363x = 118,929,799,044
  5. Step 5: Solve for x
    x = 118,929,799,044/159,363
  6. Step 6: Final answer
    x = 746,282.38

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.