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Finding the Third Proportional to 206,636 and 314,070

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Solution

The third proportional to 206,636 and 314,070 is: 477,360.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,636 : 314,070 = 314,070 : x
  2. Step 2: Convert to fraction form
    206,636/314,070 = 314,070/x
  3. Step 3: Cross multiply
    206,636x = 314,070 × 314,070
  4. Step 4: Simplify right side
    206,636x = 98,639,964,900
  5. Step 5: Solve for x
    x = 98,639,964,900/206,636
  6. Step 6: Final answer
    x = 477,360.99

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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.