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Finding the Third Proportional to 232,497.50 and 329,074

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Solution

The third proportional to 232,497.50 and 329,074 is: 465,767.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,497.50 : 329,074 = 329,074 : x
  2. Step 2: Convert to fraction form
    232,497.50/329,074 = 329,074/x
  3. Step 3: Cross multiply
    232,497.50x = 329,074 × 329,074
  4. Step 4: Simplify right side
    232,497.50x = 108,289,697,476
  5. Step 5: Solve for x
    x = 108,289,697,476/232,497.50
  6. Step 6: Final answer
    x = 465,767.15

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.