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Finding the Third Proportional to 74,856.94 and 171,802.69

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Solution

The third proportional to 74,856.94 and 171,802.69 is: 394,300.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,856.94 : 171,802.69 = 171,802.69 : x
  2. Step 2: Convert to fraction form
    74,856.94/171,802.69 = 171,802.69/x
  3. Step 3: Cross multiply
    74,856.94x = 171,802.69 × 171,802.69
  4. Step 4: Simplify right side
    74,856.94x = 29,516,163,432.22
  5. Step 5: Solve for x
    x = 29,516,163,432.22/74,856.94
  6. Step 6: Final answer
    x = 394,300.97

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Why These Related Problems?

These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.