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Finding the Third Proportional to 138,752 and 327,432

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Solution

The third proportional to 138,752 and 327,432 is: 772,685.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,752 : 327,432 = 327,432 : x
  2. Step 2: Convert to fraction form
    138,752/327,432 = 327,432/x
  3. Step 3: Cross multiply
    138,752x = 327,432 × 327,432
  4. Step 4: Simplify right side
    138,752x = 107,211,714,624
  5. Step 5: Solve for x
    x = 107,211,714,624/138,752
  6. Step 6: Final answer
    x = 772,685.90

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.