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Finding the Third Proportional to 174,176 and 260,588

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Solution

The third proportional to 174,176 and 260,588 is: 389,870.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,176 : 260,588 = 260,588 : x
  2. Step 2: Convert to fraction form
    174,176/260,588 = 260,588/x
  3. Step 3: Cross multiply
    174,176x = 260,588 × 260,588
  4. Step 4: Simplify right side
    174,176x = 67,906,105,744
  5. Step 5: Solve for x
    x = 67,906,105,744/174,176
  6. Step 6: Final answer
    x = 389,870.62

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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.