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Finding the Third Proportional to 176,569 and 226,710

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Solution

The third proportional to 176,569 and 226,710 is: 291,089.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,569 : 226,710 = 226,710 : x
  2. Step 2: Convert to fraction form
    176,569/226,710 = 226,710/x
  3. Step 3: Cross multiply
    176,569x = 226,710 × 226,710
  4. Step 4: Simplify right side
    176,569x = 51,397,424,100
  5. Step 5: Solve for x
    x = 51,397,424,100/176,569
  6. Step 6: Final answer
    x = 291,089.74

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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.