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Finding the Third Proportional to 86,253 and 188,598

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Solution

The third proportional to 86,253 and 188,598 is: 412,382.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,253 : 188,598 = 188,598 : x
  2. Step 2: Convert to fraction form
    86,253/188,598 = 188,598/x
  3. Step 3: Cross multiply
    86,253x = 188,598 × 188,598
  4. Step 4: Simplify right side
    86,253x = 35,569,205,604
  5. Step 5: Solve for x
    x = 35,569,205,604/86,253
  6. Step 6: Final answer
    x = 412,382.24

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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.