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Finding the Third Proportional to 198,898 and 432,423

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Solution

The third proportional to 198,898 and 432,423 is: 940,128.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,898 : 432,423 = 432,423 : x
  2. Step 2: Convert to fraction form
    198,898/432,423 = 432,423/x
  3. Step 3: Cross multiply
    198,898x = 432,423 × 432,423
  4. Step 4: Simplify right side
    198,898x = 186,989,650,929
  5. Step 5: Solve for x
    x = 186,989,650,929/198,898
  6. Step 6: Final answer
    x = 940,128.36

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.