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Finding the Third Proportional to 299,195.25 and 437,220

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Solution

The third proportional to 299,195.25 and 437,220 is: 638,918.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,195.25 : 437,220 = 437,220 : x
  2. Step 2: Convert to fraction form
    299,195.25/437,220 = 437,220/x
  3. Step 3: Cross multiply
    299,195.25x = 437,220 × 437,220
  4. Step 4: Simplify right side
    299,195.25x = 191,161,328,400
  5. Step 5: Solve for x
    x = 191,161,328,400/299,195.25
  6. Step 6: Final answer
    x = 638,918.33

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.