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Finding the Third Proportional to 201,774 and 442,725

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Solution

The third proportional to 201,774 and 442,725 is: 971,410.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,774 : 442,725 = 442,725 : x
  2. Step 2: Convert to fraction form
    201,774/442,725 = 442,725/x
  3. Step 3: Cross multiply
    201,774x = 442,725 × 442,725
  4. Step 4: Simplify right side
    201,774x = 196,005,425,625
  5. Step 5: Solve for x
    x = 196,005,425,625/201,774
  6. Step 6: Final answer
    x = 971,410.72

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.