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Finding the Third Proportional to 148,341 and 230,118

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Solution

The third proportional to 148,341 and 230,118 is: 356,976.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,341 : 230,118 = 230,118 : x
  2. Step 2: Convert to fraction form
    148,341/230,118 = 230,118/x
  3. Step 3: Cross multiply
    148,341x = 230,118 × 230,118
  4. Step 4: Simplify right side
    148,341x = 52,954,293,924
  5. Step 5: Solve for x
    x = 52,954,293,924/148,341
  6. Step 6: Final answer
    x = 356,976.79

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.