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Finding the Third Proportional to 265,414.50 and 422,165.25

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Solution

The third proportional to 265,414.50 and 422,165.25 is: 671,491.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,414.50 : 422,165.25 = 422,165.25 : x
  2. Step 2: Convert to fraction form
    265,414.50/422,165.25 = 422,165.25/x
  3. Step 3: Cross multiply
    265,414.50x = 422,165.25 × 422,165.25
  4. Step 4: Simplify right side
    265,414.50x = 178,223,498,307.56
  5. Step 5: Solve for x
    x = 178,223,498,307.56/265,414.50
  6. Step 6: Final answer
    x = 671,491.19

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.