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Finding the Third Proportional to 133,920 and 207,498

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Solution

The third proportional to 133,920 and 207,498 is: 321,501.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,920 : 207,498 = 207,498 : x
  2. Step 2: Convert to fraction form
    133,920/207,498 = 207,498/x
  3. Step 3: Cross multiply
    133,920x = 207,498 × 207,498
  4. Step 4: Simplify right side
    133,920x = 43,055,420,004
  5. Step 5: Solve for x
    x = 43,055,420,004/133,920
  6. Step 6: Final answer
    x = 321,501.05

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.