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Finding the Third Proportional to 208,062 and 322,785

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Solution

The third proportional to 208,062 and 322,785 is: 500,764.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,062 : 322,785 = 322,785 : x
  2. Step 2: Convert to fraction form
    208,062/322,785 = 322,785/x
  3. Step 3: Cross multiply
    208,062x = 322,785 × 322,785
  4. Step 4: Simplify right side
    208,062x = 104,190,156,225
  5. Step 5: Solve for x
    x = 104,190,156,225/208,062
  6. Step 6: Final answer
    x = 500,764.95

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.