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Finding the Third Proportional to 199,285.50 and 296,090.25

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Solution

The third proportional to 199,285.50 and 296,090.25 is: 439,918.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,285.50 : 296,090.25 = 296,090.25 : x
  2. Step 2: Convert to fraction form
    199,285.50/296,090.25 = 296,090.25/x
  3. Step 3: Cross multiply
    199,285.50x = 296,090.25 × 296,090.25
  4. Step 4: Simplify right side
    199,285.50x = 87,669,436,145.06
  5. Step 5: Solve for x
    x = 87,669,436,145.06/199,285.50
  6. Step 6: Final answer
    x = 439,918.79

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.