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Finding the Third Proportional to 173,110.50 and 273,879

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Solution

The third proportional to 173,110.50 and 273,879 is: 433,305.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,110.50 : 273,879 = 273,879 : x
  2. Step 2: Convert to fraction form
    173,110.50/273,879 = 273,879/x
  3. Step 3: Cross multiply
    173,110.50x = 273,879 × 273,879
  4. Step 4: Simplify right side
    173,110.50x = 75,009,706,641
  5. Step 5: Solve for x
    x = 75,009,706,641/173,110.50
  6. Step 6: Final answer
    x = 433,305.35

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.