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Finding the Third Proportional to 237,025 and 516,655

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Solution

The third proportional to 237,025 and 516,655 is: 1,126,178.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,025 : 516,655 = 516,655 : x
  2. Step 2: Convert to fraction form
    237,025/516,655 = 516,655/x
  3. Step 3: Cross multiply
    237,025x = 516,655 × 516,655
  4. Step 4: Simplify right side
    237,025x = 266,932,389,025
  5. Step 5: Solve for x
    x = 266,932,389,025/237,025
  6. Step 6: Final answer
    x = 1,126,178.20

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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.