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Finding the Third Proportional to 172,671.75 and 266,383.69

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Solution

The third proportional to 172,671.75 and 266,383.69 is: 410,954.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,671.75 : 266,383.69 = 266,383.69 : x
  2. Step 2: Convert to fraction form
    172,671.75/266,383.69 = 266,383.69/x
  3. Step 3: Cross multiply
    172,671.75x = 266,383.69 × 266,383.69
  4. Step 4: Simplify right side
    172,671.75x = 70,960,268,966.10
  5. Step 5: Solve for x
    x = 70,960,268,966.10/172,671.75
  6. Step 6: Final answer
    x = 410,954.71

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.