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Finding the Third Proportional to 81,584 and 176,224

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Solution

The third proportional to 81,584 and 176,224 is: 380,649.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,584 : 176,224 = 176,224 : x
  2. Step 2: Convert to fraction form
    81,584/176,224 = 176,224/x
  3. Step 3: Cross multiply
    81,584x = 176,224 × 176,224
  4. Step 4: Simplify right side
    81,584x = 31,054,898,176
  5. Step 5: Solve for x
    x = 31,054,898,176/81,584
  6. Step 6: Final answer
    x = 380,649.37

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.