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Finding the Third Proportional to 187,760 and 410,350

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Solution

The third proportional to 187,760 and 410,350 is: 896,821.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,760 : 410,350 = 410,350 : x
  2. Step 2: Convert to fraction form
    187,760/410,350 = 410,350/x
  3. Step 3: Cross multiply
    187,760x = 410,350 × 410,350
  4. Step 4: Simplify right side
    187,760x = 168,387,122,500
  5. Step 5: Solve for x
    x = 168,387,122,500/187,760
  6. Step 6: Final answer
    x = 896,821.06

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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.