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Finding the Third Proportional to 176,543 and 226,677

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Solution

The third proportional to 176,543 and 226,677 is: 291,047.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,543 : 226,677 = 226,677 : x
  2. Step 2: Convert to fraction form
    176,543/226,677 = 226,677/x
  3. Step 3: Cross multiply
    176,543x = 226,677 × 226,677
  4. Step 4: Simplify right side
    176,543x = 51,382,462,329
  5. Step 5: Solve for x
    x = 51,382,462,329/176,543
  6. Step 6: Final answer
    x = 291,047.86

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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.