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Finding the Third Proportional to 175,000 and 262,444

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Solution

The third proportional to 175,000 and 262,444 is: 393,582.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,000 : 262,444 = 262,444 : x
  2. Step 2: Convert to fraction form
    175,000/262,444 = 262,444/x
  3. Step 3: Cross multiply
    175,000x = 262,444 × 262,444
  4. Step 4: Simplify right side
    175,000x = 68,876,853,136
  5. Step 5: Solve for x
    x = 68,876,853,136/175,000
  6. Step 6: Final answer
    x = 393,582.02

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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.