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Finding the Third Proportional to 240,204 and 358,962

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Solution

The third proportional to 240,204 and 358,962 is: 536,434.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,204 : 358,962 = 358,962 : x
  2. Step 2: Convert to fraction form
    240,204/358,962 = 358,962/x
  3. Step 3: Cross multiply
    240,204x = 358,962 × 358,962
  4. Step 4: Simplify right side
    240,204x = 128,853,717,444
  5. Step 5: Solve for x
    x = 128,853,717,444/240,204
  6. Step 6: Final answer
    x = 536,434.52

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.