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Finding the Third Proportional to 73,345.92 and 160,704.84

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Solution

The third proportional to 73,345.92 and 160,704.84 is: 352,112.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,345.92 : 160,704.84 = 160,704.84 : x
  2. Step 2: Convert to fraction form
    73,345.92/160,704.84 = 160,704.84/x
  3. Step 3: Cross multiply
    73,345.92x = 160,704.84 × 160,704.84
  4. Step 4: Simplify right side
    73,345.92x = 25,826,046,804.71
  5. Step 5: Solve for x
    x = 25,826,046,804.71/73,345.92
  6. Step 6: Final answer
    x = 352,112.92

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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.