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Finding the Third Proportional to 189,098 and 403,224

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Solution

The third proportional to 189,098 and 403,224 is: 859,816.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,098 : 403,224 = 403,224 : x
  2. Step 2: Convert to fraction form
    189,098/403,224 = 403,224/x
  3. Step 3: Cross multiply
    189,098x = 403,224 × 403,224
  4. Step 4: Simplify right side
    189,098x = 162,589,594,176
  5. Step 5: Solve for x
    x = 162,589,594,176/189,098
  6. Step 6: Final answer
    x = 859,816.57

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.