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Finding the Third Proportional to 122,886 and 260,643

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Solution

The third proportional to 122,886 and 260,643 is: 552,827.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,886 : 260,643 = 260,643 : x
  2. Step 2: Convert to fraction form
    122,886/260,643 = 260,643/x
  3. Step 3: Cross multiply
    122,886x = 260,643 × 260,643
  4. Step 4: Simplify right side
    122,886x = 67,934,773,449
  5. Step 5: Solve for x
    x = 67,934,773,449/122,886
  6. Step 6: Final answer
    x = 552,827.61

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.