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Finding the Third Proportional to 215,242.31 and 469,236.38

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Solution

The third proportional to 215,242.31 and 469,236.38 is: 1,022,953.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,242.31 : 469,236.38 = 469,236.38 : x
  2. Step 2: Convert to fraction form
    215,242.31/469,236.38 = 469,236.38/x
  3. Step 3: Cross multiply
    215,242.31x = 469,236.38 × 469,236.38
  4. Step 4: Simplify right side
    215,242.31x = 220,182,775,623.14
  5. Step 5: Solve for x
    x = 220,182,775,623.14/215,242.31
  6. Step 6: Final answer
    x = 1,022,953.03

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.