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Finding the Third Proportional to 232,034 and 369,215

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Solution

The third proportional to 232,034 and 369,215 is: 587,498.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,034 : 369,215 = 369,215 : x
  2. Step 2: Convert to fraction form
    232,034/369,215 = 369,215/x
  3. Step 3: Cross multiply
    232,034x = 369,215 × 369,215
  4. Step 4: Simplify right side
    232,034x = 136,319,716,225
  5. Step 5: Solve for x
    x = 136,319,716,225/232,034
  6. Step 6: Final answer
    x = 587,498.88

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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.