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Finding the Third Proportional to 219,175.88 and 328,768.88

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Solution

The third proportional to 219,175.88 and 328,768.88 is: 493,160.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,175.88 : 328,768.88 = 328,768.88 : x
  2. Step 2: Convert to fraction form
    219,175.88/328,768.88 = 328,768.88/x
  3. Step 3: Cross multiply
    219,175.88x = 328,768.88 × 328,768.88
  4. Step 4: Simplify right side
    219,175.88x = 108,088,973,168.77
  5. Step 5: Solve for x
    x = 108,088,973,168.77/219,175.88
  6. Step 6: Final answer
    x = 493,160.91

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.