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Finding the Third Proportional to 155,712 and 240,829

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Solution

The third proportional to 155,712 and 240,829 is: 372,473.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,712 : 240,829 = 240,829 : x
  2. Step 2: Convert to fraction form
    155,712/240,829 = 240,829/x
  3. Step 3: Cross multiply
    155,712x = 240,829 × 240,829
  4. Step 4: Simplify right side
    155,712x = 57,998,607,241
  5. Step 5: Solve for x
    x = 57,998,607,241/155,712
  6. Step 6: Final answer
    x = 372,473.59

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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.