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Finding the Third Proportional to 148,830 and 327,291

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Solution

The third proportional to 148,830 and 327,291 is: 719,743.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,830 : 327,291 = 327,291 : x
  2. Step 2: Convert to fraction form
    148,830/327,291 = 327,291/x
  3. Step 3: Cross multiply
    148,830x = 327,291 × 327,291
  4. Step 4: Simplify right side
    148,830x = 107,119,398,681
  5. Step 5: Solve for x
    x = 107,119,398,681/148,830
  6. Step 6: Final answer
    x = 719,743.32

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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.