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Finding the Third Proportional to 160,516.13 and 248,889.38

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Solution

The third proportional to 160,516.13 and 248,889.38 is: 385,917.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,516.13 : 248,889.38 = 248,889.38 : x
  2. Step 2: Convert to fraction form
    160,516.13/248,889.38 = 248,889.38/x
  3. Step 3: Cross multiply
    160,516.13x = 248,889.38 × 248,889.38
  4. Step 4: Simplify right side
    160,516.13x = 61,945,920,987.89
  5. Step 5: Solve for x
    x = 61,945,920,987.89/160,516.13
  6. Step 6: Final answer
    x = 385,917.12

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.