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Finding the Third Proportional to 126,248.63 and 270,231.19

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Solution

The third proportional to 126,248.63 and 270,231.19 is: 578,421.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,248.63 : 270,231.19 = 270,231.19 : x
  2. Step 2: Convert to fraction form
    126,248.63/270,231.19 = 270,231.19/x
  3. Step 3: Cross multiply
    126,248.63x = 270,231.19 × 270,231.19
  4. Step 4: Simplify right side
    126,248.63x = 73,024,894,697.66
  5. Step 5: Solve for x
    x = 73,024,894,697.66/126,248.63
  6. Step 6: Final answer
    x = 578,421.31

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.