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Finding the Third Proportional to 233,291 and 360,872

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Solution

The third proportional to 233,291 and 360,872 is: 558,223.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,291 : 360,872 = 360,872 : x
  2. Step 2: Convert to fraction form
    233,291/360,872 = 360,872/x
  3. Step 3: Cross multiply
    233,291x = 360,872 × 360,872
  4. Step 4: Simplify right side
    233,291x = 130,228,600,384
  5. Step 5: Solve for x
    x = 130,228,600,384/233,291
  6. Step 6: Final answer
    x = 558,223.85

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.