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Finding the Third Proportional to 146,532.38 and 319,308.75

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Solution

The third proportional to 146,532.38 and 319,308.75 is: 695,805.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,532.38 : 319,308.75 = 319,308.75 : x
  2. Step 2: Convert to fraction form
    146,532.38/319,308.75 = 319,308.75/x
  3. Step 3: Cross multiply
    146,532.38x = 319,308.75 × 319,308.75
  4. Step 4: Simplify right side
    146,532.38x = 101,958,077,826.56
  5. Step 5: Solve for x
    x = 101,958,077,826.56/146,532.38
  6. Step 6: Final answer
    x = 695,805.81

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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.