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Finding the Third Proportional to 101,946.50 and 239,860

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Solution

The third proportional to 101,946.50 and 239,860 is: 564,343.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,946.50 : 239,860 = 239,860 : x
  2. Step 2: Convert to fraction form
    101,946.50/239,860 = 239,860/x
  3. Step 3: Cross multiply
    101,946.50x = 239,860 × 239,860
  4. Step 4: Simplify right side
    101,946.50x = 57,532,819,600
  5. Step 5: Solve for x
    x = 57,532,819,600/101,946.50
  6. Step 6: Final answer
    x = 564,343.25

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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.