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Finding the Third Proportional to 148,524 and 229,820

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Solution

The third proportional to 148,524 and 229,820 is: 355,614.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,524 : 229,820 = 229,820 : x
  2. Step 2: Convert to fraction form
    148,524/229,820 = 229,820/x
  3. Step 3: Cross multiply
    148,524x = 229,820 × 229,820
  4. Step 4: Simplify right side
    148,524x = 52,817,232,400
  5. Step 5: Solve for x
    x = 52,817,232,400/148,524
  6. Step 6: Final answer
    x = 355,614.13

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.