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Finding the Third Proportional to 189,432 and 290,196

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Solution

The third proportional to 189,432 and 290,196 is: 444,559.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,432 : 290,196 = 290,196 : x
  2. Step 2: Convert to fraction form
    189,432/290,196 = 290,196/x
  3. Step 3: Cross multiply
    189,432x = 290,196 × 290,196
  4. Step 4: Simplify right side
    189,432x = 84,213,718,416
  5. Step 5: Solve for x
    x = 84,213,718,416/189,432
  6. Step 6: Final answer
    x = 444,559.09

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.