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Finding the Third Proportional to 90,272 and 198,048

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Solution

The third proportional to 90,272 and 198,048 is: 434,498.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,272 : 198,048 = 198,048 : x
  2. Step 2: Convert to fraction form
    90,272/198,048 = 198,048/x
  3. Step 3: Cross multiply
    90,272x = 198,048 × 198,048
  4. Step 4: Simplify right side
    90,272x = 39,223,010,304
  5. Step 5: Solve for x
    x = 39,223,010,304/90,272
  6. Step 6: Final answer
    x = 434,498.08

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.