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Finding the Third Proportional to 167,237.16 and 239,651.16

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Solution

The third proportional to 167,237.16 and 239,651.16 is: 343,420.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,237.16 : 239,651.16 = 239,651.16 : x
  2. Step 2: Convert to fraction form
    167,237.16/239,651.16 = 239,651.16/x
  3. Step 3: Cross multiply
    167,237.16x = 239,651.16 × 239,651.16
  4. Step 4: Simplify right side
    167,237.16x = 57,432,676,691.96
  5. Step 5: Solve for x
    x = 57,432,676,691.96/167,237.16
  6. Step 6: Final answer
    x = 343,420.55

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.