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Finding the Third Proportional to 207,972.75 and 425,802.75

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Solution

The third proportional to 207,972.75 and 425,802.75 is: 871,787.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,972.75 : 425,802.75 = 425,802.75 : x
  2. Step 2: Convert to fraction form
    207,972.75/425,802.75 = 425,802.75/x
  3. Step 3: Cross multiply
    207,972.75x = 425,802.75 × 425,802.75
  4. Step 4: Simplify right side
    207,972.75x = 181,307,981,907.56
  5. Step 5: Solve for x
    x = 181,307,981,907.56/207,972.75
  6. Step 6: Final answer
    x = 871,787.20

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.