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Finding the Third Proportional to 198,585 and 432,114

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Solution

The third proportional to 198,585 and 432,114 is: 940,264.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,585 : 432,114 = 432,114 : x
  2. Step 2: Convert to fraction form
    198,585/432,114 = 432,114/x
  3. Step 3: Cross multiply
    198,585x = 432,114 × 432,114
  4. Step 4: Simplify right side
    198,585x = 186,722,508,996
  5. Step 5: Solve for x
    x = 186,722,508,996/198,585
  6. Step 6: Final answer
    x = 940,264.92

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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.