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Finding the Third Proportional to 198,499 and 432,686

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Solution

The third proportional to 198,499 and 432,686 is: 943,164.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,499 : 432,686 = 432,686 : x
  2. Step 2: Convert to fraction form
    198,499/432,686 = 432,686/x
  3. Step 3: Cross multiply
    198,499x = 432,686 × 432,686
  4. Step 4: Simplify right side
    198,499x = 187,217,174,596
  5. Step 5: Solve for x
    x = 187,217,174,596/198,499
  6. Step 6: Final answer
    x = 943,164.32

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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.