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Finding the Third Proportional to 101,947.50 and 239,862.50

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Solution

The third proportional to 101,947.50 and 239,862.50 is: 564,349.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,947.50 : 239,862.50 = 239,862.50 : x
  2. Step 2: Convert to fraction form
    101,947.50/239,862.50 = 239,862.50/x
  3. Step 3: Cross multiply
    101,947.50x = 239,862.50 × 239,862.50
  4. Step 4: Simplify right side
    101,947.50x = 57,534,018,906.25
  5. Step 5: Solve for x
    x = 57,534,018,906.25/101,947.50
  6. Step 6: Final answer
    x = 564,349.48

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.