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Finding the Third Proportional to 155,698 and 240,839

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Solution

The third proportional to 155,698 and 240,839 is: 372,538.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,698 : 240,839 = 240,839 : x
  2. Step 2: Convert to fraction form
    155,698/240,839 = 240,839/x
  3. Step 3: Cross multiply
    155,698x = 240,839 × 240,839
  4. Step 4: Simplify right side
    155,698x = 58,003,423,921
  5. Step 5: Solve for x
    x = 58,003,423,921/155,698
  6. Step 6: Final answer
    x = 372,538.02

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.