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Finding the Third Proportional to 237,035.50 and 516,677

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Solution

The third proportional to 237,035.50 and 516,677 is: 1,126,224.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,035.50 : 516,677 = 516,677 : x
  2. Step 2: Convert to fraction form
    237,035.50/516,677 = 516,677/x
  3. Step 3: Cross multiply
    237,035.50x = 516,677 × 516,677
  4. Step 4: Simplify right side
    237,035.50x = 266,955,122,329
  5. Step 5: Solve for x
    x = 266,955,122,329/237,035.50
  6. Step 6: Final answer
    x = 1,126,224.23

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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.