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Finding the Third Proportional to 86,270.48 and 176,724.28

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Solution

The third proportional to 86,270.48 and 176,724.28 is: 362,018.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,270.48 : 176,724.28 = 176,724.28 : x
  2. Step 2: Convert to fraction form
    86,270.48/176,724.28 = 176,724.28/x
  3. Step 3: Cross multiply
    86,270.48x = 176,724.28 × 176,724.28
  4. Step 4: Simplify right side
    86,270.48x = 31,231,471,583.33
  5. Step 5: Solve for x
    x = 31,231,471,583.33/86,270.48
  6. Step 6: Final answer
    x = 362,018.04

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.