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Finding the Third Proportional to 235,808.13 and 333,342.13

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Solution

The third proportional to 235,808.13 and 333,342.13 is: 471,217.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,808.13 : 333,342.13 = 333,342.13 : x
  2. Step 2: Convert to fraction form
    235,808.13/333,342.13 = 333,342.13/x
  3. Step 3: Cross multiply
    235,808.13x = 333,342.13 × 333,342.13
  4. Step 4: Simplify right side
    235,808.13x = 111,116,972,299.52
  5. Step 5: Solve for x
    x = 111,116,972,299.52/235,808.13
  6. Step 6: Final answer
    x = 471,217.74

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.