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Finding the Third Proportional to 89,344 and 243,040

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Solution

The third proportional to 89,344 and 243,040 is: 661,134.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,344 : 243,040 = 243,040 : x
  2. Step 2: Convert to fraction form
    89,344/243,040 = 243,040/x
  3. Step 3: Cross multiply
    89,344x = 243,040 × 243,040
  4. Step 4: Simplify right side
    89,344x = 59,068,441,600
  5. Step 5: Solve for x
    x = 59,068,441,600/89,344
  6. Step 6: Final answer
    x = 661,134.96

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Why These Related Problems?

These problems maintain the same ratio (2.72) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.