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Finding the Third Proportional to 253,014.75 and 380,251.13

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Solution

The third proportional to 253,014.75 and 380,251.13 is: 571,472.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,014.75 : 380,251.13 = 380,251.13 : x
  2. Step 2: Convert to fraction form
    253,014.75/380,251.13 = 380,251.13/x
  3. Step 3: Cross multiply
    253,014.75x = 380,251.13 × 380,251.13
  4. Step 4: Simplify right side
    253,014.75x = 144,590,918,063.77
  5. Step 5: Solve for x
    x = 144,590,918,063.77/253,014.75
  6. Step 6: Final answer
    x = 571,472.29

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.