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Finding the Third Proportional to 232,310 and 341,661

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Solution

The third proportional to 232,310 and 341,661 is: 502,484.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,310 : 341,661 = 341,661 : x
  2. Step 2: Convert to fraction form
    232,310/341,661 = 341,661/x
  3. Step 3: Cross multiply
    232,310x = 341,661 × 341,661
  4. Step 4: Simplify right side
    232,310x = 116,732,238,921
  5. Step 5: Solve for x
    x = 116,732,238,921/232,310
  6. Step 6: Final answer
    x = 502,484.78

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.