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Finding the Third Proportional to 189,272 and 293,022

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Solution

The third proportional to 189,272 and 293,022 is: 453,642.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,272 : 293,022 = 293,022 : x
  2. Step 2: Convert to fraction form
    189,272/293,022 = 293,022/x
  3. Step 3: Cross multiply
    189,272x = 293,022 × 293,022
  4. Step 4: Simplify right side
    189,272x = 85,861,892,484
  5. Step 5: Solve for x
    x = 85,861,892,484/189,272
  6. Step 6: Final answer
    x = 453,642.87

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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.