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Finding the Third Proportional to 209,810.25 and 449,069.06

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Solution

The third proportional to 209,810.25 and 449,069.06 is: 961,168.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,810.25 : 449,069.06 = 449,069.06 : x
  2. Step 2: Convert to fraction form
    209,810.25/449,069.06 = 449,069.06/x
  3. Step 3: Cross multiply
    209,810.25x = 449,069.06 × 449,069.06
  4. Step 4: Simplify right side
    209,810.25x = 201,663,022,894.63
  5. Step 5: Solve for x
    x = 201,663,022,894.63/209,810.25
  6. Step 6: Final answer
    x = 961,168.59

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.