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Finding the Third Proportional to 176,581 and 226,735

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Solution

The third proportional to 176,581 and 226,735 is: 291,134.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,581 : 226,735 = 226,735 : x
  2. Step 2: Convert to fraction form
    176,581/226,735 = 226,735/x
  3. Step 3: Cross multiply
    176,581x = 226,735 × 226,735
  4. Step 4: Simplify right side
    176,581x = 51,408,760,225
  5. Step 5: Solve for x
    x = 51,408,760,225/176,581
  6. Step 6: Final answer
    x = 291,134.16

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Why These Related Problems?

These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.