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Finding the Third Proportional to 85,442 and 187,340

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Solution

The third proportional to 85,442 and 187,340 is: 410,761.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,442 : 187,340 = 187,340 : x
  2. Step 2: Convert to fraction form
    85,442/187,340 = 187,340/x
  3. Step 3: Cross multiply
    85,442x = 187,340 × 187,340
  4. Step 4: Simplify right side
    85,442x = 35,096,275,600
  5. Step 5: Solve for x
    x = 35,096,275,600/85,442
  6. Step 6: Final answer
    x = 410,761.40

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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.