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Finding the Third Proportional to 182,071.55 and 400,277.95

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Solution

The third proportional to 182,071.55 and 400,277.95 is: 879,997.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,071.55 : 400,277.95 = 400,277.95 : x
  2. Step 2: Convert to fraction form
    182,071.55/400,277.95 = 400,277.95/x
  3. Step 3: Cross multiply
    182,071.55x = 400,277.95 × 400,277.95
  4. Step 4: Simplify right side
    182,071.55x = 160,222,439,757.94
  5. Step 5: Solve for x
    x = 160,222,439,757.94/182,071.55
  6. Step 6: Final answer
    x = 879,997.14

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.