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Finding the Third Proportional to 182,463 and 391,897

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Solution

The third proportional to 182,463 and 391,897 is: 841,722.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,463 : 391,897 = 391,897 : x
  2. Step 2: Convert to fraction form
    182,463/391,897 = 391,897/x
  3. Step 3: Cross multiply
    182,463x = 391,897 × 391,897
  4. Step 4: Simplify right side
    182,463x = 153,583,258,609
  5. Step 5: Solve for x
    x = 153,583,258,609/182,463
  6. Step 6: Final answer
    x = 841,722.75

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.