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Finding the Third Proportional to 122,781.38 and 264,455.25

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Solution

The third proportional to 122,781.38 and 264,455.25 is: 569,602.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,781.38 : 264,455.25 = 264,455.25 : x
  2. Step 2: Convert to fraction form
    122,781.38/264,455.25 = 264,455.25/x
  3. Step 3: Cross multiply
    122,781.38x = 264,455.25 × 264,455.25
  4. Step 4: Simplify right side
    122,781.38x = 69,936,579,252.56
  5. Step 5: Solve for x
    x = 69,936,579,252.56/122,781.38
  6. Step 6: Final answer
    x = 569,602.51

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.