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Finding the Third Proportional to 206,608 and 314,034

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Solution

The third proportional to 206,608 and 314,034 is: 477,316.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,608 : 314,034 = 314,034 : x
  2. Step 2: Convert to fraction form
    206,608/314,034 = 314,034/x
  3. Step 3: Cross multiply
    206,608x = 314,034 × 314,034
  4. Step 4: Simplify right side
    206,608x = 98,617,353,156
  5. Step 5: Solve for x
    x = 98,617,353,156/206,608
  6. Step 6: Final answer
    x = 477,316.24

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.