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Finding the Third Proportional to 171,179.50 and 250,430

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Solution

The third proportional to 171,179.50 and 250,430 is: 366,370.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,179.50 : 250,430 = 250,430 : x
  2. Step 2: Convert to fraction form
    171,179.50/250,430 = 250,430/x
  3. Step 3: Cross multiply
    171,179.50x = 250,430 × 250,430
  4. Step 4: Simplify right side
    171,179.50x = 62,715,184,900
  5. Step 5: Solve for x
    x = 62,715,184,900/171,179.50
  6. Step 6: Final answer
    x = 366,370.88

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.