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Finding the Third Proportional to 206,214 and 313,641

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Solution

The third proportional to 206,214 and 313,641 is: 477,032.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,214 : 313,641 = 313,641 : x
  2. Step 2: Convert to fraction form
    206,214/313,641 = 313,641/x
  3. Step 3: Cross multiply
    206,214x = 313,641 × 313,641
  4. Step 4: Simplify right side
    206,214x = 98,370,676,881
  5. Step 5: Solve for x
    x = 98,370,676,881/206,214
  6. Step 6: Final answer
    x = 477,032.00

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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.