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Finding the Third Proportional to 185,338.50 and 403,941

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Solution

The third proportional to 185,338.50 and 403,941 is: 880,380.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,338.50 : 403,941 = 403,941 : x
  2. Step 2: Convert to fraction form
    185,338.50/403,941 = 403,941/x
  3. Step 3: Cross multiply
    185,338.50x = 403,941 × 403,941
  4. Step 4: Simplify right side
    185,338.50x = 163,168,331,481
  5. Step 5: Solve for x
    x = 163,168,331,481/185,338.50
  6. Step 6: Final answer
    x = 880,380.12

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.