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Finding the Third Proportional to 238,156 and 513,704

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Solution

The third proportional to 238,156 and 513,704 is: 1,108,062.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,156 : 513,704 = 513,704 : x
  2. Step 2: Convert to fraction form
    238,156/513,704 = 513,704/x
  3. Step 3: Cross multiply
    238,156x = 513,704 × 513,704
  4. Step 4: Simplify right side
    238,156x = 263,891,799,616
  5. Step 5: Solve for x
    x = 263,891,799,616/238,156
  6. Step 6: Final answer
    x = 1,108,062.78

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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.