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Finding the Third Proportional to 83,328.75 and 177,045.75

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Solution

The third proportional to 83,328.75 and 177,045.75 is: 376,163.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,328.75 : 177,045.75 = 177,045.75 : x
  2. Step 2: Convert to fraction form
    83,328.75/177,045.75 = 177,045.75/x
  3. Step 3: Cross multiply
    83,328.75x = 177,045.75 × 177,045.75
  4. Step 4: Simplify right side
    83,328.75x = 31,345,197,593.06
  5. Step 5: Solve for x
    x = 31,345,197,593.06/83,328.75
  6. Step 6: Final answer
    x = 376,163.06

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.