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Finding the Third Proportional to 122,708 and 264,748

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Solution

The third proportional to 122,708 and 264,748 is: 571,205.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,708 : 264,748 = 264,748 : x
  2. Step 2: Convert to fraction form
    122,708/264,748 = 264,748/x
  3. Step 3: Cross multiply
    122,708x = 264,748 × 264,748
  4. Step 4: Simplify right side
    122,708x = 70,091,503,504
  5. Step 5: Solve for x
    x = 70,091,503,504/122,708
  6. Step 6: Final answer
    x = 571,205.65

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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.