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Finding the Third Proportional to 122,614 and 264,577

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Solution

The third proportional to 122,614 and 264,577 is: 570,905.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,614 : 264,577 = 264,577 : x
  2. Step 2: Convert to fraction form
    122,614/264,577 = 264,577/x
  3. Step 3: Cross multiply
    122,614x = 264,577 × 264,577
  4. Step 4: Simplify right side
    122,614x = 70,000,988,929
  5. Step 5: Solve for x
    x = 70,000,988,929/122,614
  6. Step 6: Final answer
    x = 570,905.35

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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.