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Finding the Third Proportional to 209,600.25 and 454,646.25

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Solution

The third proportional to 209,600.25 and 454,646.25 is: 986,178.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,600.25 : 454,646.25 = 454,646.25 : x
  2. Step 2: Convert to fraction form
    209,600.25/454,646.25 = 454,646.25/x
  3. Step 3: Cross multiply
    209,600.25x = 454,646.25 × 454,646.25
  4. Step 4: Simplify right side
    209,600.25x = 206,703,212,639.06
  5. Step 5: Solve for x
    x = 206,703,212,639.06/209,600.25
  6. Step 6: Final answer
    x = 986,178.27

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.