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Finding the Third Proportional to 204,018.75 and 437,562

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Solution

The third proportional to 204,018.75 and 437,562 is: 938,445.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,018.75 : 437,562 = 437,562 : x
  2. Step 2: Convert to fraction form
    204,018.75/437,562 = 437,562/x
  3. Step 3: Cross multiply
    204,018.75x = 437,562 × 437,562
  4. Step 4: Simplify right side
    204,018.75x = 191,460,503,844
  5. Step 5: Solve for x
    x = 191,460,503,844/204,018.75
  6. Step 6: Final answer
    x = 938,445.63

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.