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Finding the Third Proportional to 160,310.81 and 343,020.66

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Solution

The third proportional to 160,310.81 and 343,020.66 is: 733,969.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,310.81 : 343,020.66 = 343,020.66 : x
  2. Step 2: Convert to fraction form
    160,310.81/343,020.66 = 343,020.66/x
  3. Step 3: Cross multiply
    160,310.81x = 343,020.66 × 343,020.66
  4. Step 4: Simplify right side
    160,310.81x = 117,663,170,614.18
  5. Step 5: Solve for x
    x = 117,663,170,614.18/160,310.81
  6. Step 6: Final answer
    x = 733,969.02

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.