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Finding the Third Proportional to 172,134 and 375,420

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Solution

The third proportional to 172,134 and 375,420 is: 818,781.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,134 : 375,420 = 375,420 : x
  2. Step 2: Convert to fraction form
    172,134/375,420 = 375,420/x
  3. Step 3: Cross multiply
    172,134x = 375,420 × 375,420
  4. Step 4: Simplify right side
    172,134x = 140,940,176,400
  5. Step 5: Solve for x
    x = 140,940,176,400/172,134
  6. Step 6: Final answer
    x = 818,781.74

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.