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Finding the Third Proportional to 152,165 and 327,712

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Solution

The third proportional to 152,165 and 327,712 is: 705,780.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,165 : 327,712 = 327,712 : x
  2. Step 2: Convert to fraction form
    152,165/327,712 = 327,712/x
  3. Step 3: Cross multiply
    152,165x = 327,712 × 327,712
  4. Step 4: Simplify right side
    152,165x = 107,395,154,944
  5. Step 5: Solve for x
    x = 107,395,154,944/152,165
  6. Step 6: Final answer
    x = 705,780.93

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.