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Finding the Third Proportional to 73,334 and 160,678

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Solution

The third proportional to 73,334 and 160,678 is: 352,052.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,334 : 160,678 = 160,678 : x
  2. Step 2: Convert to fraction form
    73,334/160,678 = 160,678/x
  3. Step 3: Cross multiply
    73,334x = 160,678 × 160,678
  4. Step 4: Simplify right side
    73,334x = 25,817,419,684
  5. Step 5: Solve for x
    x = 25,817,419,684/73,334
  6. Step 6: Final answer
    x = 352,052.52

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.