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Finding the Third Proportional to 172,113 and 372,828

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Solution

The third proportional to 172,113 and 372,828 is: 807,613.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,113 : 372,828 = 372,828 : x
  2. Step 2: Convert to fraction form
    172,113/372,828 = 372,828/x
  3. Step 3: Cross multiply
    172,113x = 372,828 × 372,828
  4. Step 4: Simplify right side
    172,113x = 139,000,717,584
  5. Step 5: Solve for x
    x = 139,000,717,584/172,113
  6. Step 6: Final answer
    x = 807,613.12

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.