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Finding the Third Proportional to 164,294 and 247,170

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Solution

The third proportional to 164,294 and 247,170 is: 371,851.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,294 : 247,170 = 247,170 : x
  2. Step 2: Convert to fraction form
    164,294/247,170 = 247,170/x
  3. Step 3: Cross multiply
    164,294x = 247,170 × 247,170
  4. Step 4: Simplify right side
    164,294x = 61,093,008,900
  5. Step 5: Solve for x
    x = 61,093,008,900/164,294
  6. Step 6: Final answer
    x = 371,851.73

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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.