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Finding the Third Proportional to 200,515.50 and 417,616.88

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Solution

The third proportional to 200,515.50 and 417,616.88 is: 869,777.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,515.50 : 417,616.88 = 417,616.88 : x
  2. Step 2: Convert to fraction form
    200,515.50/417,616.88 = 417,616.88/x
  3. Step 3: Cross multiply
    200,515.50x = 417,616.88 × 417,616.88
  4. Step 4: Simplify right side
    200,515.50x = 174,403,854,284.77
  5. Step 5: Solve for x
    x = 174,403,854,284.77/200,515.50
  6. Step 6: Final answer
    x = 869,777.42

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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.