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Finding the Third Proportional to 122,780 and 268,982

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Solution

The third proportional to 122,780 and 268,982 is: 589,276.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,780 : 268,982 = 268,982 : x
  2. Step 2: Convert to fraction form
    122,780/268,982 = 268,982/x
  3. Step 3: Cross multiply
    122,780x = 268,982 × 268,982
  4. Step 4: Simplify right side
    122,780x = 72,351,316,324
  5. Step 5: Solve for x
    x = 72,351,316,324/122,780
  6. Step 6: Final answer
    x = 589,276.07

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.