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Finding the Third Proportional to 164,288.25 and 247,161.38

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Solution

The third proportional to 164,288.25 and 247,161.38 is: 371,838.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,288.25 : 247,161.38 = 247,161.38 : x
  2. Step 2: Convert to fraction form
    164,288.25/247,161.38 = 247,161.38/x
  3. Step 3: Cross multiply
    164,288.25x = 247,161.38 × 247,161.38
  4. Step 4: Simplify right side
    164,288.25x = 61,088,745,291.89
  5. Step 5: Solve for x
    x = 61,088,745,291.89/164,288.25
  6. Step 6: Final answer
    x = 371,838.80

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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.