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Finding the Third Proportional to 170,096 and 372,508

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Solution

The third proportional to 170,096 and 372,508 is: 815,787.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,096 : 372,508 = 372,508 : x
  2. Step 2: Convert to fraction form
    170,096/372,508 = 372,508/x
  3. Step 3: Cross multiply
    170,096x = 372,508 × 372,508
  4. Step 4: Simplify right side
    170,096x = 138,762,210,064
  5. Step 5: Solve for x
    x = 138,762,210,064/170,096
  6. Step 6: Final answer
    x = 815,787.61

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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.