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Finding the Third Proportional to 172,934 and 372,550

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Solution

The third proportional to 172,934 and 372,550 is: 802,580.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,934 : 372,550 = 372,550 : x
  2. Step 2: Convert to fraction form
    172,934/372,550 = 372,550/x
  3. Step 3: Cross multiply
    172,934x = 372,550 × 372,550
  4. Step 4: Simplify right side
    172,934x = 138,793,502,500
  5. Step 5: Solve for x
    x = 138,793,502,500/172,934
  6. Step 6: Final answer
    x = 802,580.77

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.