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Finding the Third Proportional to 164,760.75 and 247,141.13

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Solution

The third proportional to 164,760.75 and 247,141.13 is: 370,711.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,760.75 : 247,141.13 = 247,141.13 : x
  2. Step 2: Convert to fraction form
    164,760.75/247,141.13 = 247,141.13/x
  3. Step 3: Cross multiply
    164,760.75x = 247,141.13 × 247,141.13
  4. Step 4: Simplify right side
    164,760.75x = 61,078,735,666.27
  5. Step 5: Solve for x
    x = 61,078,735,666.27/164,760.75
  6. Step 6: Final answer
    x = 370,711.69

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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.