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Finding the Third Proportional to 122,785 and 264,463

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Solution

The third proportional to 122,785 and 264,463 is: 569,619.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,785 : 264,463 = 264,463 : x
  2. Step 2: Convert to fraction form
    122,785/264,463 = 264,463/x
  3. Step 3: Cross multiply
    122,785x = 264,463 × 264,463
  4. Step 4: Simplify right side
    122,785x = 69,940,678,369
  5. Step 5: Solve for x
    x = 69,940,678,369/122,785
  6. Step 6: Final answer
    x = 569,619.08

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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.