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Finding the Third Proportional to 208,202.50 and 452,080.50

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Solution

The third proportional to 208,202.50 and 452,080.50 is: 981,625.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,202.50 : 452,080.50 = 452,080.50 : x
  2. Step 2: Convert to fraction form
    208,202.50/452,080.50 = 452,080.50/x
  3. Step 3: Cross multiply
    208,202.50x = 452,080.50 × 452,080.50
  4. Step 4: Simplify right side
    208,202.50x = 204,376,778,480.25
  5. Step 5: Solve for x
    x = 204,376,778,480.25/208,202.50
  6. Step 6: Final answer
    x = 981,625.00

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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.