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Finding the Third Proportional to 201,038.50 and 442,057.25

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Solution

The third proportional to 201,038.50 and 442,057.25 is: 972,025.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,038.50 : 442,057.25 = 442,057.25 : x
  2. Step 2: Convert to fraction form
    201,038.50/442,057.25 = 442,057.25/x
  3. Step 3: Cross multiply
    201,038.50x = 442,057.25 × 442,057.25
  4. Step 4: Simplify right side
    201,038.50x = 195,414,612,277.56
  5. Step 5: Solve for x
    x = 195,414,612,277.56/201,038.50
  6. Step 6: Final answer
    x = 972,025.82

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.