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Finding the Third Proportional to 80,301 and 172,935

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Solution

The third proportional to 80,301 and 172,935 is: 372,430.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,301 : 172,935 = 172,935 : x
  2. Step 2: Convert to fraction form
    80,301/172,935 = 172,935/x
  3. Step 3: Cross multiply
    80,301x = 172,935 × 172,935
  4. Step 4: Simplify right side
    80,301x = 29,906,514,225
  5. Step 5: Solve for x
    x = 29,906,514,225/80,301
  6. Step 6: Final answer
    x = 372,430.16

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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.