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Finding the Third Proportional to 101,846 and 240,802

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Solution

The third proportional to 101,846 and 240,802 is: 569,345.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,846 : 240,802 = 240,802 : x
  2. Step 2: Convert to fraction form
    101,846/240,802 = 240,802/x
  3. Step 3: Cross multiply
    101,846x = 240,802 × 240,802
  4. Step 4: Simplify right side
    101,846x = 57,985,603,204
  5. Step 5: Solve for x
    x = 57,985,603,204/101,846
  6. Step 6: Final answer
    x = 569,345.91

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.