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Finding the Third Proportional to 219,639.73 and 334,098.42

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Solution

The third proportional to 219,639.73 and 334,098.42 is: 508,203.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,639.73 : 334,098.42 = 334,098.42 : x
  2. Step 2: Convert to fraction form
    219,639.73/334,098.42 = 334,098.42/x
  3. Step 3: Cross multiply
    219,639.73x = 334,098.42 × 334,098.42
  4. Step 4: Simplify right side
    219,639.73x = 111,621,755,499.37
  5. Step 5: Solve for x
    x = 111,621,755,499.37/219,639.73
  6. Step 6: Final answer
    x = 508,203.85

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.