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Finding the Third Proportional to 164,638.13 and 246,255.19

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Solution

The third proportional to 164,638.13 and 246,255.19 is: 368,332.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,638.13 : 246,255.19 = 246,255.19 : x
  2. Step 2: Convert to fraction form
    164,638.13/246,255.19 = 246,255.19/x
  3. Step 3: Cross multiply
    164,638.13x = 246,255.19 × 246,255.19
  4. Step 4: Simplify right side
    164,638.13x = 60,641,617,370.66
  5. Step 5: Solve for x
    x = 60,641,617,370.66/164,638.13
  6. Step 6: Final answer
    x = 368,332.77

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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.