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Finding the Third Proportional to 174,167 and 260,575

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Solution

The third proportional to 174,167 and 260,575 is: 389,851.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,167 : 260,575 = 260,575 : x
  2. Step 2: Convert to fraction form
    174,167/260,575 = 260,575/x
  3. Step 3: Cross multiply
    174,167x = 260,575 × 260,575
  4. Step 4: Simplify right side
    174,167x = 67,899,330,625
  5. Step 5: Solve for x
    x = 67,899,330,625/174,167
  6. Step 6: Final answer
    x = 389,851.87

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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.