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Finding the Third Proportional to 242,142 and 532,344

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Solution

The third proportional to 242,142 and 532,344 is: 1,170,346.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,142 : 532,344 = 532,344 : x
  2. Step 2: Convert to fraction form
    242,142/532,344 = 532,344/x
  3. Step 3: Cross multiply
    242,142x = 532,344 × 532,344
  4. Step 4: Simplify right side
    242,142x = 283,390,134,336
  5. Step 5: Solve for x
    x = 283,390,134,336/242,142
  6. Step 6: Final answer
    x = 1,170,346.88

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.