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Finding the Third Proportional to 189,934.88 and 414,861.75

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Solution

The third proportional to 189,934.88 and 414,861.75 is: 906,154.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,934.88 : 414,861.75 = 414,861.75 : x
  2. Step 2: Convert to fraction form
    189,934.88/414,861.75 = 414,861.75/x
  3. Step 3: Cross multiply
    189,934.88x = 414,861.75 × 414,861.75
  4. Step 4: Simplify right side
    189,934.88x = 172,110,271,613.06
  5. Step 5: Solve for x
    x = 172,110,271,613.06/189,934.88
  6. Step 6: Final answer
    x = 906,154.13

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.