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Finding the Third Proportional to 235,261.13 and 515,548.13

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Solution

The third proportional to 235,261.13 and 515,548.13 is: 1,129,765.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,261.13 : 515,548.13 = 515,548.13 : x
  2. Step 2: Convert to fraction form
    235,261.13/515,548.13 = 515,548.13/x
  3. Step 3: Cross multiply
    235,261.13x = 515,548.13 × 515,548.13
  4. Step 4: Simplify right side
    235,261.13x = 265,789,869,191.02
  5. Step 5: Solve for x
    x = 265,789,869,191.02/235,261.13
  6. Step 6: Final answer
    x = 1,129,765.36

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.