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Finding the Third Proportional to 164,763.18 and 247,144.92

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Solution

The third proportional to 164,763.18 and 247,144.92 is: 370,717.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,763.18 : 247,144.92 = 247,144.92 : x
  2. Step 2: Convert to fraction form
    164,763.18/247,144.92 = 247,144.92/x
  3. Step 3: Cross multiply
    164,763.18x = 247,144.92 × 247,144.92
  4. Step 4: Simplify right side
    164,763.18x = 61,080,612,408.60
  5. Step 5: Solve for x
    x = 61,080,612,408.60/164,763.18
  6. Step 6: Final answer
    x = 370,717.62

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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.