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Finding the Third Proportional to 201,614 and 297,823

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Solution

The third proportional to 201,614 and 297,823 is: 439,942.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,614 : 297,823 = 297,823 : x
  2. Step 2: Convert to fraction form
    201,614/297,823 = 297,823/x
  3. Step 3: Cross multiply
    201,614x = 297,823 × 297,823
  4. Step 4: Simplify right side
    201,614x = 88,698,539,329
  5. Step 5: Solve for x
    x = 88,698,539,329/201,614
  6. Step 6: Final answer
    x = 439,942.36

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.