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Finding the Third Proportional to 189,896 and 285,459

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Solution

The third proportional to 189,896 and 285,459 is: 429,112.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,896 : 285,459 = 285,459 : x
  2. Step 2: Convert to fraction form
    189,896/285,459 = 285,459/x
  3. Step 3: Cross multiply
    189,896x = 285,459 × 285,459
  4. Step 4: Simplify right side
    189,896x = 81,486,840,681
  5. Step 5: Solve for x
    x = 81,486,840,681/189,896
  6. Step 6: Final answer
    x = 429,112.99

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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.