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Finding the Third Proportional to 201,225.75 and 437,395.75

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Solution

The third proportional to 201,225.75 and 437,395.75 is: 950,748.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,225.75 : 437,395.75 = 437,395.75 : x
  2. Step 2: Convert to fraction form
    201,225.75/437,395.75 = 437,395.75/x
  3. Step 3: Cross multiply
    201,225.75x = 437,395.75 × 437,395.75
  4. Step 4: Simplify right side
    201,225.75x = 191,315,042,118.06
  5. Step 5: Solve for x
    x = 191,315,042,118.06/201,225.75
  6. Step 6: Final answer
    x = 950,748.31

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.