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Finding the Third Proportional to 169,830 and 359,890

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Solution

The third proportional to 169,830 and 359,890 is: 762,649.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,830 : 359,890 = 359,890 : x
  2. Step 2: Convert to fraction form
    169,830/359,890 = 359,890/x
  3. Step 3: Cross multiply
    169,830x = 359,890 × 359,890
  4. Step 4: Simplify right side
    169,830x = 129,520,812,100
  5. Step 5: Solve for x
    x = 129,520,812,100/169,830
  6. Step 6: Final answer
    x = 762,649.78

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.