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Finding the Third Proportional to 203,080.50 and 297,693

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Solution

The third proportional to 203,080.50 and 297,693 is: 436,384.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,080.50 : 297,693 = 297,693 : x
  2. Step 2: Convert to fraction form
    203,080.50/297,693 = 297,693/x
  3. Step 3: Cross multiply
    203,080.50x = 297,693 × 297,693
  4. Step 4: Simplify right side
    203,080.50x = 88,621,122,249
  5. Step 5: Solve for x
    x = 88,621,122,249/203,080.50
  6. Step 6: Final answer
    x = 436,384.20

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.