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Finding the Third Proportional to 73,192 and 157,480

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Solution

The third proportional to 73,192 and 157,480 is: 338,834.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,192 : 157,480 = 157,480 : x
  2. Step 2: Convert to fraction form
    73,192/157,480 = 157,480/x
  3. Step 3: Cross multiply
    73,192x = 157,480 × 157,480
  4. Step 4: Simplify right side
    73,192x = 24,799,950,400
  5. Step 5: Solve for x
    x = 24,799,950,400/73,192
  6. Step 6: Final answer
    x = 338,834.17

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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.