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Finding the Third Proportional to 122,224 and 264,416

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Solution

The third proportional to 122,224 and 264,416 is: 572,030.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,224 : 264,416 = 264,416 : x
  2. Step 2: Convert to fraction form
    122,224/264,416 = 264,416/x
  3. Step 3: Cross multiply
    122,224x = 264,416 × 264,416
  4. Step 4: Simplify right side
    122,224x = 69,915,821,056
  5. Step 5: Solve for x
    x = 69,915,821,056/122,224
  6. Step 6: Final answer
    x = 572,030.22

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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.