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Finding the Third Proportional to 237,036.50 and 516,679

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Solution

The third proportional to 237,036.50 and 516,679 is: 1,126,228.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,036.50 : 516,679 = 516,679 : x
  2. Step 2: Convert to fraction form
    237,036.50/516,679 = 516,679/x
  3. Step 3: Cross multiply
    237,036.50x = 516,679 × 516,679
  4. Step 4: Simplify right side
    237,036.50x = 266,957,189,041
  5. Step 5: Solve for x
    x = 266,957,189,041/237,036.50
  6. Step 6: Final answer
    x = 1,126,228.19

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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.