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Finding the Third Proportional to 73,357.31 and 160,724.67

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Solution

The third proportional to 73,357.31 and 160,724.67 is: 352,145.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,357.31 : 160,724.67 = 160,724.67 : x
  2. Step 2: Convert to fraction form
    73,357.31/160,724.67 = 160,724.67/x
  3. Step 3: Cross multiply
    73,357.31x = 160,724.67 × 160,724.67
  4. Step 4: Simplify right side
    73,357.31x = 25,832,420,149.33
  5. Step 5: Solve for x
    x = 25,832,420,149.33/73,357.31
  6. Step 6: Final answer
    x = 352,145.13

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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.