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Finding the Third Proportional to 237,046.50 and 360,177.75

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Solution

The third proportional to 237,046.50 and 360,177.75 is: 547,268.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,046.50 : 360,177.75 = 360,177.75 : x
  2. Step 2: Convert to fraction form
    237,046.50/360,177.75 = 360,177.75/x
  3. Step 3: Cross multiply
    237,046.50x = 360,177.75 × 360,177.75
  4. Step 4: Simplify right side
    237,046.50x = 129,728,011,595.06
  5. Step 5: Solve for x
    x = 129,728,011,595.06/237,046.50
  6. Step 6: Final answer
    x = 547,268.20

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.