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Finding the Third Proportional to 169,830 and 356,184

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Solution

The third proportional to 169,830 and 356,184 is: 747,023.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,830 : 356,184 = 356,184 : x
  2. Step 2: Convert to fraction form
    169,830/356,184 = 356,184/x
  3. Step 3: Cross multiply
    169,830x = 356,184 × 356,184
  4. Step 4: Simplify right side
    169,830x = 126,867,041,856
  5. Step 5: Solve for x
    x = 126,867,041,856/169,830
  6. Step 6: Final answer
    x = 747,023.74

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.