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Finding the Third Proportional to 176,557 and 226,693

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Solution

The third proportional to 176,557 and 226,693 is: 291,065.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,557 : 226,693 = 226,693 : x
  2. Step 2: Convert to fraction form
    176,557/226,693 = 226,693/x
  3. Step 3: Cross multiply
    176,557x = 226,693 × 226,693
  4. Step 4: Simplify right side
    176,557x = 51,389,716,249
  5. Step 5: Solve for x
    x = 51,389,716,249/176,557
  6. Step 6: Final answer
    x = 291,065.87

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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.