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Finding the Third Proportional to 131,501 and 287,606

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Solution

The third proportional to 131,501 and 287,606 is: 629,023.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,501 : 287,606 = 287,606 : x
  2. Step 2: Convert to fraction form
    131,501/287,606 = 287,606/x
  3. Step 3: Cross multiply
    131,501x = 287,606 × 287,606
  4. Step 4: Simplify right side
    131,501x = 82,717,211,236
  5. Step 5: Solve for x
    x = 82,717,211,236/131,501
  6. Step 6: Final answer
    x = 629,023.44

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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.