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Finding the Third Proportional to 122,836 and 260,434

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Solution

The third proportional to 122,836 and 260,434 is: 552,166.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,836 : 260,434 = 260,434 : x
  2. Step 2: Convert to fraction form
    122,836/260,434 = 260,434/x
  3. Step 3: Cross multiply
    122,836x = 260,434 × 260,434
  4. Step 4: Simplify right side
    122,836x = 67,825,868,356
  5. Step 5: Solve for x
    x = 67,825,868,356/122,836
  6. Step 6: Final answer
    x = 552,166.05

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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.