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Finding the Third Proportional to 78,239.25 and 167,549.25

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Solution

The third proportional to 78,239.25 and 167,549.25 is: 358,806.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,239.25 : 167,549.25 = 167,549.25 : x
  2. Step 2: Convert to fraction form
    78,239.25/167,549.25 = 167,549.25/x
  3. Step 3: Cross multiply
    78,239.25x = 167,549.25 × 167,549.25
  4. Step 4: Simplify right side
    78,239.25x = 28,072,751,175.56
  5. Step 5: Solve for x
    x = 28,072,751,175.56/78,239.25
  6. Step 6: Final answer
    x = 358,806.50

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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.