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Finding the Third Proportional to 202,144.50 and 336,879

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Solution

The third proportional to 202,144.50 and 336,879 is: 561,417.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,144.50 : 336,879 = 336,879 : x
  2. Step 2: Convert to fraction form
    202,144.50/336,879 = 336,879/x
  3. Step 3: Cross multiply
    202,144.50x = 336,879 × 336,879
  4. Step 4: Simplify right side
    202,144.50x = 113,487,460,641
  5. Step 5: Solve for x
    x = 113,487,460,641/202,144.50
  6. Step 6: Final answer
    x = 561,417.50

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.