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Finding the Third Proportional to 134,015.25 and 207,320.63

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Solution

The third proportional to 134,015.25 and 207,320.63 is: 320,723.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,015.25 : 207,320.63 = 207,320.63 : x
  2. Step 2: Convert to fraction form
    134,015.25/207,320.63 = 207,320.63/x
  3. Step 3: Cross multiply
    134,015.25x = 207,320.63 × 207,320.63
  4. Step 4: Simplify right side
    134,015.25x = 42,981,841,550.39
  5. Step 5: Solve for x
    x = 42,981,841,550.39/134,015.25
  6. Step 6: Final answer
    x = 320,723.51

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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.