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Finding the Third Proportional to 189,418 and 315,655

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Solution

The third proportional to 189,418 and 315,655 is: 526,022.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,418 : 315,655 = 315,655 : x
  2. Step 2: Convert to fraction form
    189,418/315,655 = 315,655/x
  3. Step 3: Cross multiply
    189,418x = 315,655 × 315,655
  4. Step 4: Simplify right side
    189,418x = 99,638,079,025
  5. Step 5: Solve for x
    x = 99,638,079,025/189,418
  6. Step 6: Final answer
    x = 526,022.23

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.