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Finding the Third Proportional to 174,179 and 260,593

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Solution

The third proportional to 174,179 and 260,593 is: 389,878.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,179 : 260,593 = 260,593 : x
  2. Step 2: Convert to fraction form
    174,179/260,593 = 260,593/x
  3. Step 3: Cross multiply
    174,179x = 260,593 × 260,593
  4. Step 4: Simplify right side
    174,179x = 67,908,711,649
  5. Step 5: Solve for x
    x = 67,908,711,649/174,179
  6. Step 6: Final answer
    x = 389,878.87

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.