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Finding the Third Proportional to 208,279.13 and 448,202.25

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Solution

The third proportional to 208,279.13 and 448,202.25 is: 964,500.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,279.13 : 448,202.25 = 448,202.25 : x
  2. Step 2: Convert to fraction form
    208,279.13/448,202.25 = 448,202.25/x
  3. Step 3: Cross multiply
    208,279.13x = 448,202.25 × 448,202.25
  4. Step 4: Simplify right side
    208,279.13x = 200,885,256,905.06
  5. Step 5: Solve for x
    x = 200,885,256,905.06/208,279.13
  6. Step 6: Final answer
    x = 964,500.20

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.