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Finding the Third Proportional to 78,274.69 and 167,617.69

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Solution

The third proportional to 78,274.69 and 167,617.69 is: 358,937.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,274.69 : 167,617.69 = 167,617.69 : x
  2. Step 2: Convert to fraction form
    78,274.69/167,617.69 = 167,617.69/x
  3. Step 3: Cross multiply
    78,274.69x = 167,617.69 × 167,617.69
  4. Step 4: Simplify right side
    78,274.69x = 28,095,689,162.85
  5. Step 5: Solve for x
    x = 28,095,689,162.85/78,274.69
  6. Step 6: Final answer
    x = 358,937.10

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