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Finding the Third Proportional to 151,670 and 229,593

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Solution

The third proportional to 151,670 and 229,593 is: 347,550.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,670 : 229,593 = 229,593 : x
  2. Step 2: Convert to fraction form
    151,670/229,593 = 229,593/x
  3. Step 3: Cross multiply
    151,670x = 229,593 × 229,593
  4. Step 4: Simplify right side
    151,670x = 52,712,945,649
  5. Step 5: Solve for x
    x = 52,712,945,649/151,670
  6. Step 6: Final answer
    x = 347,550.24

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.