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Finding the Third Proportional to 189,056 and 283,584

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Solution

The third proportional to 189,056 and 283,584 is: 425,376

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,056 : 283,584 = 283,584 : x
  2. Step 2: Convert to fraction form
    189,056/283,584 = 283,584/x
  3. Step 3: Cross multiply
    189,056x = 283,584 × 283,584
  4. Step 4: Simplify right side
    189,056x = 80,419,885,056
  5. Step 5: Solve for x
    x = 80,419,885,056/189,056
  6. Step 6: Final answer
    x = 425,376

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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.