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Finding the Third Proportional to 185,830 and 283,113

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Solution

The third proportional to 185,830 and 283,113 is: 431,324.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,830 : 283,113 = 283,113 : x
  2. Step 2: Convert to fraction form
    185,830/283,113 = 283,113/x
  3. Step 3: Cross multiply
    185,830x = 283,113 × 283,113
  4. Step 4: Simplify right side
    185,830x = 80,152,970,769
  5. Step 5: Solve for x
    x = 80,152,970,769/185,830
  6. Step 6: Final answer
    x = 431,324.17

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.