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Finding the Third Proportional to 241,478 and 366,231

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Solution

The third proportional to 241,478 and 366,231 is: 555,434.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,478 : 366,231 = 366,231 : x
  2. Step 2: Convert to fraction form
    241,478/366,231 = 366,231/x
  3. Step 3: Cross multiply
    241,478x = 366,231 × 366,231
  4. Step 4: Simplify right side
    241,478x = 134,125,145,361
  5. Step 5: Solve for x
    x = 134,125,145,361/241,478
  6. Step 6: Final answer
    x = 555,434.22

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.