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Finding the Third Proportional to 73,778 and 158,310

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Solution

The third proportional to 73,778 and 158,310 is: 339,695.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,778 : 158,310 = 158,310 : x
  2. Step 2: Convert to fraction form
    73,778/158,310 = 158,310/x
  3. Step 3: Cross multiply
    73,778x = 158,310 × 158,310
  4. Step 4: Simplify right side
    73,778x = 25,062,056,100
  5. Step 5: Solve for x
    x = 25,062,056,100/73,778
  6. Step 6: Final answer
    x = 339,695.52

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.