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Finding the Third Proportional to 119,235.75 and 252,687

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Solution

The third proportional to 119,235.75 and 252,687 is: 535,499.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,235.75 : 252,687 = 252,687 : x
  2. Step 2: Convert to fraction form
    119,235.75/252,687 = 252,687/x
  3. Step 3: Cross multiply
    119,235.75x = 252,687 × 252,687
  4. Step 4: Simplify right side
    119,235.75x = 63,850,719,969
  5. Step 5: Solve for x
    x = 63,850,719,969/119,235.75
  6. Step 6: Final answer
    x = 535,499.80

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.