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Finding the Third Proportional to 189,008 and 256,808

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Solution

The third proportional to 189,008 and 256,808 is: 348,928.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,008 : 256,808 = 256,808 : x
  2. Step 2: Convert to fraction form
    189,008/256,808 = 256,808/x
  3. Step 3: Cross multiply
    189,008x = 256,808 × 256,808
  4. Step 4: Simplify right side
    189,008x = 65,950,348,864
  5. Step 5: Solve for x
    x = 65,950,348,864/189,008
  6. Step 6: Final answer
    x = 348,928.88

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.