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Finding the Third Proportional to 101,847 and 240,807

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Solution

The third proportional to 101,847 and 240,807 is: 569,363.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,847 : 240,807 = 240,807 : x
  2. Step 2: Convert to fraction form
    101,847/240,807 = 240,807/x
  3. Step 3: Cross multiply
    101,847x = 240,807 × 240,807
  4. Step 4: Simplify right side
    101,847x = 57,988,011,249
  5. Step 5: Solve for x
    x = 57,988,011,249/101,847
  6. Step 6: Final answer
    x = 569,363.96

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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.