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Finding the Third Proportional to 122,765 and 264,303

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Solution

The third proportional to 122,765 and 264,303 is: 569,022.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,765 : 264,303 = 264,303 : x
  2. Step 2: Convert to fraction form
    122,765/264,303 = 264,303/x
  3. Step 3: Cross multiply
    122,765x = 264,303 × 264,303
  4. Step 4: Simplify right side
    122,765x = 69,856,075,809
  5. Step 5: Solve for x
    x = 69,856,075,809/122,765
  6. Step 6: Final answer
    x = 569,022.73

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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.