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Finding the Third Proportional to 189,324 and 403,908

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Solution

The third proportional to 189,324 and 403,908 is: 861,706.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,324 : 403,908 = 403,908 : x
  2. Step 2: Convert to fraction form
    189,324/403,908 = 403,908/x
  3. Step 3: Cross multiply
    189,324x = 403,908 × 403,908
  4. Step 4: Simplify right side
    189,324x = 163,141,672,464
  5. Step 5: Solve for x
    x = 163,141,672,464/189,324
  6. Step 6: Final answer
    x = 861,706.24

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.