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Finding the Third Proportional to 86,944 and 183,229

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Solution

The third proportional to 86,944 and 183,229 is: 386,143.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,944 : 183,229 = 183,229 : x
  2. Step 2: Convert to fraction form
    86,944/183,229 = 183,229/x
  3. Step 3: Cross multiply
    86,944x = 183,229 × 183,229
  4. Step 4: Simplify right side
    86,944x = 33,572,866,441
  5. Step 5: Solve for x
    x = 33,572,866,441/86,944
  6. Step 6: Final answer
    x = 386,143.57

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.