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Finding the Third Proportional to 208,072 and 331,118

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Solution

The third proportional to 208,072 and 331,118 is: 526,928.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,072 : 331,118 = 331,118 : x
  2. Step 2: Convert to fraction form
    208,072/331,118 = 331,118/x
  3. Step 3: Cross multiply
    208,072x = 331,118 × 331,118
  4. Step 4: Simplify right side
    208,072x = 109,639,129,924
  5. Step 5: Solve for x
    x = 109,639,129,924/208,072
  6. Step 6: Final answer
    x = 526,928.80

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.