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Finding the Third Proportional to 122,055 and 264,409

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Solution

The third proportional to 122,055 and 264,409 is: 572,791.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,055 : 264,409 = 264,409 : x
  2. Step 2: Convert to fraction form
    122,055/264,409 = 264,409/x
  3. Step 3: Cross multiply
    122,055x = 264,409 × 264,409
  4. Step 4: Simplify right side
    122,055x = 69,912,119,281
  5. Step 5: Solve for x
    x = 69,912,119,281/122,055
  6. Step 6: Final answer
    x = 572,791.93

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.