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Finding the Third Proportional to 215,754.75 and 469,153.13

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Solution

The third proportional to 215,754.75 and 469,153.13 is: 1,020,161.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,754.75 : 469,153.13 = 469,153.13 : x
  2. Step 2: Convert to fraction form
    215,754.75/469,153.13 = 469,153.13/x
  3. Step 3: Cross multiply
    215,754.75x = 469,153.13 × 469,153.13
  4. Step 4: Simplify right side
    215,754.75x = 220,104,654,697.27
  5. Step 5: Solve for x
    x = 220,104,654,697.27/215,754.75
  6. Step 6: Final answer
    x = 1,020,161.34

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.