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Finding the Third Proportional to 189,951.75 and 293,151.56

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Solution

The third proportional to 189,951.75 and 293,151.56 is: 452,419.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,951.75 : 293,151.56 = 293,151.56 : x
  2. Step 2: Convert to fraction form
    189,951.75/293,151.56 = 293,151.56/x
  3. Step 3: Cross multiply
    189,951.75x = 293,151.56 × 293,151.56
  4. Step 4: Simplify right side
    189,951.75x = 85,937,838,596.19
  5. Step 5: Solve for x
    x = 85,937,838,596.19/189,951.75
  6. Step 6: Final answer
    x = 452,419.30

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.