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Finding the Third Proportional to 173,504 and 260,094

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Solution

The third proportional to 173,504 and 260,094 is: 389,898.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,504 : 260,094 = 260,094 : x
  2. Step 2: Convert to fraction form
    173,504/260,094 = 260,094/x
  3. Step 3: Cross multiply
    173,504x = 260,094 × 260,094
  4. Step 4: Simplify right side
    173,504x = 67,648,888,836
  5. Step 5: Solve for x
    x = 67,648,888,836/173,504
  6. Step 6: Final answer
    x = 389,898.15

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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.