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Finding the Third Proportional to 198,550 and 428,202

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Solution

The third proportional to 198,550 and 428,202 is: 923,479.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,550 : 428,202 = 428,202 : x
  2. Step 2: Convert to fraction form
    198,550/428,202 = 428,202/x
  3. Step 3: Cross multiply
    198,550x = 428,202 × 428,202
  4. Step 4: Simplify right side
    198,550x = 183,356,952,804
  5. Step 5: Solve for x
    x = 183,356,952,804/198,550
  6. Step 6: Final answer
    x = 923,479.99

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.