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Finding the Third Proportional to 160,147.13 and 340,048.13

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Solution

The third proportional to 160,147.13 and 340,048.13 is: 722,040.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,147.13 : 340,048.13 = 340,048.13 : x
  2. Step 2: Convert to fraction form
    160,147.13/340,048.13 = 340,048.13/x
  3. Step 3: Cross multiply
    160,147.13x = 340,048.13 × 340,048.13
  4. Step 4: Simplify right side
    160,147.13x = 115,632,727,316.02
  5. Step 5: Solve for x
    x = 115,632,727,316.02/160,147.13
  6. Step 6: Final answer
    x = 722,040.61

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.