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Finding the Third Proportional to 164,505.94 and 247,973.91

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Solution

The third proportional to 164,505.94 and 247,973.91 is: 373,792.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,505.94 : 247,973.91 = 247,973.91 : x
  2. Step 2: Convert to fraction form
    164,505.94/247,973.91 = 247,973.91/x
  3. Step 3: Cross multiply
    164,505.94x = 247,973.91 × 247,973.91
  4. Step 4: Simplify right side
    164,505.94x = 61,491,058,180.88
  5. Step 5: Solve for x
    x = 61,491,058,180.88/164,505.94
  6. Step 6: Final answer
    x = 373,792.33

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.