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Finding the Third Proportional to 189,432 and 294,108

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Solution

The third proportional to 189,432 and 294,108 is: 456,625.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,432 : 294,108 = 294,108 : x
  2. Step 2: Convert to fraction form
    189,432/294,108 = 294,108/x
  3. Step 3: Cross multiply
    189,432x = 294,108 × 294,108
  4. Step 4: Simplify right side
    189,432x = 86,499,515,664
  5. Step 5: Solve for x
    x = 86,499,515,664/189,432
  6. Step 6: Final answer
    x = 456,625.68

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.