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Finding the Third Proportional to 148,524 and 229,822

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Solution

The third proportional to 148,524 and 229,822 is: 355,620.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,524 : 229,822 = 229,822 : x
  2. Step 2: Convert to fraction form
    148,524/229,822 = 229,822/x
  3. Step 3: Cross multiply
    148,524x = 229,822 × 229,822
  4. Step 4: Simplify right side
    148,524x = 52,818,151,684
  5. Step 5: Solve for x
    x = 52,818,151,684/148,524
  6. Step 6: Final answer
    x = 355,620.32

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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.