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Finding the Third Proportional to 169,971.75 and 354,078

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Solution

The third proportional to 169,971.75 and 354,078 is: 737,600.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,971.75 : 354,078 = 354,078 : x
  2. Step 2: Convert to fraction form
    169,971.75/354,078 = 354,078/x
  3. Step 3: Cross multiply
    169,971.75x = 354,078 × 354,078
  4. Step 4: Simplify right side
    169,971.75x = 125,371,230,084
  5. Step 5: Solve for x
    x = 125,371,230,084/169,971.75
  6. Step 6: Final answer
    x = 737,600.40

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.