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Finding the Third Proportional to 201,615 and 297,826

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Solution

The third proportional to 201,615 and 297,826 is: 439,949.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,615 : 297,826 = 297,826 : x
  2. Step 2: Convert to fraction form
    201,615/297,826 = 297,826/x
  3. Step 3: Cross multiply
    201,615x = 297,826 × 297,826
  4. Step 4: Simplify right side
    201,615x = 88,700,326,276
  5. Step 5: Solve for x
    x = 88,700,326,276/201,615
  6. Step 6: Final answer
    x = 439,949.04

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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.