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Finding the Third Proportional to 160,182.28 and 352,339.31

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Solution

The third proportional to 160,182.28 and 352,339.31 is: 775,010.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,182.28 : 352,339.31 = 352,339.31 : x
  2. Step 2: Convert to fraction form
    160,182.28/352,339.31 = 352,339.31/x
  3. Step 3: Cross multiply
    160,182.28x = 352,339.31 × 352,339.31
  4. Step 4: Simplify right side
    160,182.28x = 124,142,991,132.97
  5. Step 5: Solve for x
    x = 124,142,991,132.97/160,182.28
  6. Step 6: Final answer
    x = 775,010.76

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.