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Finding the Third Proportional to 122,608 and 264,572

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Solution

The third proportional to 122,608 and 264,572 is: 570,911.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,608 : 264,572 = 264,572 : x
  2. Step 2: Convert to fraction form
    122,608/264,572 = 264,572/x
  3. Step 3: Cross multiply
    122,608x = 264,572 × 264,572
  4. Step 4: Simplify right side
    122,608x = 69,998,343,184
  5. Step 5: Solve for x
    x = 69,998,343,184/122,608
  6. Step 6: Final answer
    x = 570,911.71

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.