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Finding the Third Proportional to 133,976.25 and 207,355.50

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Solution

The third proportional to 133,976.25 and 207,355.50 is: 320,924.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,976.25 : 207,355.50 = 207,355.50 : x
  2. Step 2: Convert to fraction form
    133,976.25/207,355.50 = 207,355.50/x
  3. Step 3: Cross multiply
    133,976.25x = 207,355.50 × 207,355.50
  4. Step 4: Simplify right side
    133,976.25x = 42,996,303,380.25
  5. Step 5: Solve for x
    x = 42,996,303,380.25/133,976.25
  6. Step 6: Final answer
    x = 320,924.82

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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.