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Finding the Third Proportional to 171,120.38 and 266,014.50

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Solution

The third proportional to 171,120.38 and 266,014.50 is: 413,531.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,120.38 : 266,014.50 = 266,014.50 : x
  2. Step 2: Convert to fraction form
    171,120.38/266,014.50 = 266,014.50/x
  3. Step 3: Cross multiply
    171,120.38x = 266,014.50 × 266,014.50
  4. Step 4: Simplify right side
    171,120.38x = 70,763,714,210.25
  5. Step 5: Solve for x
    x = 70,763,714,210.25/171,120.38
  6. Step 6: Final answer
    x = 413,531.79

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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.