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Finding the Third Proportional to 189,898.88 and 293,946.75

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Solution

The third proportional to 189,898.88 and 293,946.75 is: 455,003.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,898.88 : 293,946.75 = 293,946.75 : x
  2. Step 2: Convert to fraction form
    189,898.88/293,946.75 = 293,946.75/x
  3. Step 3: Cross multiply
    189,898.88x = 293,946.75 × 293,946.75
  4. Step 4: Simplify right side
    189,898.88x = 86,404,691,835.56
  5. Step 5: Solve for x
    x = 86,404,691,835.56/189,898.88
  6. Step 6: Final answer
    x = 455,003.71

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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.