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Finding the Third Proportional to 206,614 and 314,043

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Solution

The third proportional to 206,614 and 314,043 is: 477,329.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,614 : 314,043 = 314,043 : x
  2. Step 2: Convert to fraction form
    206,614/314,043 = 314,043/x
  3. Step 3: Cross multiply
    206,614x = 314,043 × 314,043
  4. Step 4: Simplify right side
    206,614x = 98,623,005,849
  5. Step 5: Solve for x
    x = 98,623,005,849/206,614
  6. Step 6: Final answer
    x = 477,329.73

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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.