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Finding the Third Proportional to 158,874.50 and 330,817

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Solution

The third proportional to 158,874.50 and 330,817 is: 688,844.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,874.50 : 330,817 = 330,817 : x
  2. Step 2: Convert to fraction form
    158,874.50/330,817 = 330,817/x
  3. Step 3: Cross multiply
    158,874.50x = 330,817 × 330,817
  4. Step 4: Simplify right side
    158,874.50x = 109,439,887,489
  5. Step 5: Solve for x
    x = 109,439,887,489/158,874.50
  6. Step 6: Final answer
    x = 688,844.89

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.