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Finding the Third Proportional to 151,326.75 and 332,041.50

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Solution

The third proportional to 151,326.75 and 332,041.50 is: 728,566.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,326.75 : 332,041.50 = 332,041.50 : x
  2. Step 2: Convert to fraction form
    151,326.75/332,041.50 = 332,041.50/x
  3. Step 3: Cross multiply
    151,326.75x = 332,041.50 × 332,041.50
  4. Step 4: Simplify right side
    151,326.75x = 110,251,557,722.25
  5. Step 5: Solve for x
    x = 110,251,557,722.25/151,326.75
  6. Step 6: Final answer
    x = 728,566.22

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.