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Finding the Third Proportional to 131,010 and 280,713

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Solution

The third proportional to 131,010 and 280,713 is: 601,479.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,010 : 280,713 = 280,713 : x
  2. Step 2: Convert to fraction form
    131,010/280,713 = 280,713/x
  3. Step 3: Cross multiply
    131,010x = 280,713 × 280,713
  4. Step 4: Simplify right side
    131,010x = 78,799,788,369
  5. Step 5: Solve for x
    x = 78,799,788,369/131,010
  6. Step 6: Final answer
    x = 601,479.19

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.