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Finding the Third Proportional to 189,981 and 296,473.50

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Solution

The third proportional to 189,981 and 296,473.50 is: 462,659.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,981 : 296,473.50 = 296,473.50 : x
  2. Step 2: Convert to fraction form
    189,981/296,473.50 = 296,473.50/x
  3. Step 3: Cross multiply
    189,981x = 296,473.50 × 296,473.50
  4. Step 4: Simplify right side
    189,981x = 87,896,536,202.25
  5. Step 5: Solve for x
    x = 87,896,536,202.25/189,981
  6. Step 6: Final answer
    x = 462,659.61

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.