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Finding the Third Proportional to 131,571 and 288,138

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Solution

The third proportional to 131,571 and 288,138 is: 631,016.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,571 : 288,138 = 288,138 : x
  2. Step 2: Convert to fraction form
    131,571/288,138 = 288,138/x
  3. Step 3: Cross multiply
    131,571x = 288,138 × 288,138
  4. Step 4: Simplify right side
    131,571x = 83,023,507,044
  5. Step 5: Solve for x
    x = 83,023,507,044/131,571
  6. Step 6: Final answer
    x = 631,016.77

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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.