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Finding the Third Proportional to 73,840 and 157,348

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Solution

The third proportional to 73,840 and 157,348 is: 335,297.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,840 : 157,348 = 157,348 : x
  2. Step 2: Convert to fraction form
    73,840/157,348 = 157,348/x
  3. Step 3: Cross multiply
    73,840x = 157,348 × 157,348
  4. Step 4: Simplify right side
    73,840x = 24,758,393,104
  5. Step 5: Solve for x
    x = 24,758,393,104/73,840
  6. Step 6: Final answer
    x = 335,297.85

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.