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Finding the Third Proportional to 122,770 and 268,964

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Solution

The third proportional to 122,770 and 268,964 is: 589,245.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,770 : 268,964 = 268,964 : x
  2. Step 2: Convert to fraction form
    122,770/268,964 = 268,964/x
  3. Step 3: Cross multiply
    122,770x = 268,964 × 268,964
  4. Step 4: Simplify right side
    122,770x = 72,341,633,296
  5. Step 5: Solve for x
    x = 72,341,633,296/122,770
  6. Step 6: Final answer
    x = 589,245.20

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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.