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Finding the Third Proportional to 180,167.50 and 417,040

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Solution

The third proportional to 180,167.50 and 417,040 is: 965,337.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,167.50 : 417,040 = 417,040 : x
  2. Step 2: Convert to fraction form
    180,167.50/417,040 = 417,040/x
  3. Step 3: Cross multiply
    180,167.50x = 417,040 × 417,040
  4. Step 4: Simplify right side
    180,167.50x = 173,922,361,600
  5. Step 5: Solve for x
    x = 173,922,361,600/180,167.50
  6. Step 6: Final answer
    x = 965,337.04

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.