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Finding the Third Proportional to 146,121.75 and 232,714.13

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Solution

The third proportional to 146,121.75 and 232,714.13 is: 370,621.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,121.75 : 232,714.13 = 232,714.13 : x
  2. Step 2: Convert to fraction form
    146,121.75/232,714.13 = 232,714.13/x
  3. Step 3: Cross multiply
    146,121.75x = 232,714.13 × 232,714.13
  4. Step 4: Simplify right side
    146,121.75x = 54,155,863,974.52
  5. Step 5: Solve for x
    x = 54,155,863,974.52/146,121.75
  6. Step 6: Final answer
    x = 370,621.51

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.