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Finding the Third Proportional to 198,524 and 432,040

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Solution

The third proportional to 198,524 and 432,040 is: 940,231.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,524 : 432,040 = 432,040 : x
  2. Step 2: Convert to fraction form
    198,524/432,040 = 432,040/x
  3. Step 3: Cross multiply
    198,524x = 432,040 × 432,040
  4. Step 4: Simplify right side
    198,524x = 186,658,561,600
  5. Step 5: Solve for x
    x = 186,658,561,600/198,524
  6. Step 6: Final answer
    x = 940,231.72

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.