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Finding the Third Proportional to 189,141.33 and 282,943.13

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Solution

The third proportional to 189,141.33 and 282,943.13 is: 423,264.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,141.33 : 282,943.13 = 282,943.13 : x
  2. Step 2: Convert to fraction form
    189,141.33/282,943.13 = 282,943.13/x
  3. Step 3: Cross multiply
    189,141.33x = 282,943.13 × 282,943.13
  4. Step 4: Simplify right side
    189,141.33x = 80,056,811,984.77
  5. Step 5: Solve for x
    x = 80,056,811,984.77/189,141.33
  6. Step 6: Final answer
    x = 423,264.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.