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Finding the Third Proportional to 202,074 and 336,774

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Solution

The third proportional to 202,074 and 336,774 is: 561,263.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,074 : 336,774 = 336,774 : x
  2. Step 2: Convert to fraction form
    202,074/336,774 = 336,774/x
  3. Step 3: Cross multiply
    202,074x = 336,774 × 336,774
  4. Step 4: Simplify right side
    202,074x = 113,416,727,076
  5. Step 5: Solve for x
    x = 113,416,727,076/202,074
  6. Step 6: Final answer
    x = 561,263.33

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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.