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Finding the Third Proportional to 208,840 and 336,264

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Solution

The third proportional to 208,840 and 336,264 is: 541,435.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,840 : 336,264 = 336,264 : x
  2. Step 2: Convert to fraction form
    208,840/336,264 = 336,264/x
  3. Step 3: Cross multiply
    208,840x = 336,264 × 336,264
  4. Step 4: Simplify right side
    208,840x = 113,073,477,696
  5. Step 5: Solve for x
    x = 113,073,477,696/208,840
  6. Step 6: Final answer
    x = 541,435.92

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.