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Finding the Third Proportional to 171,119.72 and 266,013.28

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Solution

The third proportional to 171,119.72 and 266,013.28 is: 413,529.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,119.72 : 266,013.28 = 266,013.28 : x
  2. Step 2: Convert to fraction form
    171,119.72/266,013.28 = 266,013.28/x
  3. Step 3: Cross multiply
    171,119.72x = 266,013.28 × 266,013.28
  4. Step 4: Simplify right side
    171,119.72x = 70,763,065,801.39
  5. Step 5: Solve for x
    x = 70,763,065,801.39/171,119.72
  6. Step 6: Final answer
    x = 413,529.58

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.