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Finding the Third Proportional to 164,383.50 and 247,520.25

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Solution

The third proportional to 164,383.50 and 247,520.25 is: 372,703.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,383.50 : 247,520.25 = 247,520.25 : x
  2. Step 2: Convert to fraction form
    164,383.50/247,520.25 = 247,520.25/x
  3. Step 3: Cross multiply
    164,383.50x = 247,520.25 × 247,520.25
  4. Step 4: Simplify right side
    164,383.50x = 61,266,274,160.06
  5. Step 5: Solve for x
    x = 61,266,274,160.06/164,383.50
  6. Step 6: Final answer
    x = 372,703.31

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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.