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Finding the Third Proportional to 208,776.25 and 447,076.25

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Solution

The third proportional to 208,776.25 and 447,076.25 is: 957,375.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,776.25 : 447,076.25 = 447,076.25 : x
  2. Step 2: Convert to fraction form
    208,776.25/447,076.25 = 447,076.25/x
  3. Step 3: Cross multiply
    208,776.25x = 447,076.25 × 447,076.25
  4. Step 4: Simplify right side
    208,776.25x = 199,877,173,314.06
  5. Step 5: Solve for x
    x = 199,877,173,314.06/208,776.25
  6. Step 6: Final answer
    x = 957,375.05

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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.