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Finding the Third Proportional to 122,612 and 264,573

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Solution

The third proportional to 122,612 and 264,573 is: 570,897.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,612 : 264,573 = 264,573 : x
  2. Step 2: Convert to fraction form
    122,612/264,573 = 264,573/x
  3. Step 3: Cross multiply
    122,612x = 264,573 × 264,573
  4. Step 4: Simplify right side
    122,612x = 69,998,872,329
  5. Step 5: Solve for x
    x = 69,998,872,329/122,612
  6. Step 6: Final answer
    x = 570,897.40

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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.