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Finding the Third Proportional to 230,268 and 514,068

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Solution

The third proportional to 230,268 and 514,068 is: 1,147,644.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,268 : 514,068 = 514,068 : x
  2. Step 2: Convert to fraction form
    230,268/514,068 = 514,068/x
  3. Step 3: Cross multiply
    230,268x = 514,068 × 514,068
  4. Step 4: Simplify right side
    230,268x = 264,265,908,624
  5. Step 5: Solve for x
    x = 264,265,908,624/230,268
  6. Step 6: Final answer
    x = 1,147,644.96

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.