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Finding the Third Proportional to 189,934.88 and 300,758.06

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Solution

The third proportional to 189,934.88 and 300,758.06 is: 476,244.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,934.88 : 300,758.06 = 300,758.06 : x
  2. Step 2: Convert to fraction form
    189,934.88/300,758.06 = 300,758.06/x
  3. Step 3: Cross multiply
    189,934.88x = 300,758.06 × 300,758.06
  4. Step 4: Simplify right side
    189,934.88x = 90,455,412,158.75
  5. Step 5: Solve for x
    x = 90,455,412,158.75/189,934.88
  6. Step 6: Final answer
    x = 476,244.36

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.