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Finding the Third Proportional to 172,058 and 370,478

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Solution

The third proportional to 172,058 and 370,478 is: 797,719.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,058 : 370,478 = 370,478 : x
  2. Step 2: Convert to fraction form
    172,058/370,478 = 370,478/x
  3. Step 3: Cross multiply
    172,058x = 370,478 × 370,478
  4. Step 4: Simplify right side
    172,058x = 137,253,948,484
  5. Step 5: Solve for x
    x = 137,253,948,484/172,058
  6. Step 6: Final answer
    x = 797,719.07

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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.