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Finding the Third Proportional to 152,541 and 230,782

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Solution

The third proportional to 152,541 and 230,782 is: 349,154.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,541 : 230,782 = 230,782 : x
  2. Step 2: Convert to fraction form
    152,541/230,782 = 230,782/x
  3. Step 3: Cross multiply
    152,541x = 230,782 × 230,782
  4. Step 4: Simplify right side
    152,541x = 53,260,331,524
  5. Step 5: Solve for x
    x = 53,260,331,524/152,541
  6. Step 6: Final answer
    x = 349,154.20

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.