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Finding the Third Proportional to 235,080 and 516,810

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Solution

The third proportional to 235,080 and 516,810 is: 1,136,177.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,080 : 516,810 = 516,810 : x
  2. Step 2: Convert to fraction form
    235,080/516,810 = 516,810/x
  3. Step 3: Cross multiply
    235,080x = 516,810 × 516,810
  4. Step 4: Simplify right side
    235,080x = 267,092,576,100
  5. Step 5: Solve for x
    x = 267,092,576,100/235,080
  6. Step 6: Final answer
    x = 1,136,177.37

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.