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Finding the Third Proportional to 208,356 and 321,180

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Solution

The third proportional to 208,356 and 321,180 is: 495,097.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,356 : 321,180 = 321,180 : x
  2. Step 2: Convert to fraction form
    208,356/321,180 = 321,180/x
  3. Step 3: Cross multiply
    208,356x = 321,180 × 321,180
  4. Step 4: Simplify right side
    208,356x = 103,156,592,400
  5. Step 5: Solve for x
    x = 103,156,592,400/208,356
  6. Step 6: Final answer
    x = 495,097.78

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.