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Finding the Third Proportional to 120,434 and 262,317

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Solution

The third proportional to 120,434 and 262,317 is: 571,352.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,434 : 262,317 = 262,317 : x
  2. Step 2: Convert to fraction form
    120,434/262,317 = 262,317/x
  3. Step 3: Cross multiply
    120,434x = 262,317 × 262,317
  4. Step 4: Simplify right side
    120,434x = 68,810,208,489
  5. Step 5: Solve for x
    x = 68,810,208,489/120,434
  6. Step 6: Final answer
    x = 571,352.01

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.