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Finding the Third Proportional to 120,764 and 262,276

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Solution

The third proportional to 120,764 and 262,276 is: 569,612.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,764 : 262,276 = 262,276 : x
  2. Step 2: Convert to fraction form
    120,764/262,276 = 262,276/x
  3. Step 3: Cross multiply
    120,764x = 262,276 × 262,276
  4. Step 4: Simplify right side
    120,764x = 68,788,700,176
  5. Step 5: Solve for x
    x = 68,788,700,176/120,764
  6. Step 6: Final answer
    x = 569,612.63

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.