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Finding the Third Proportional to 148,929 and 327,342

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Solution

The third proportional to 148,929 and 327,342 is: 719,489.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,929 : 327,342 = 327,342 : x
  2. Step 2: Convert to fraction form
    148,929/327,342 = 327,342/x
  3. Step 3: Cross multiply
    148,929x = 327,342 × 327,342
  4. Step 4: Simplify right side
    148,929x = 107,152,784,964
  5. Step 5: Solve for x
    x = 107,152,784,964/148,929
  6. Step 6: Final answer
    x = 719,489.05

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Why These Related Problems?

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