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Finding the Third Proportional to 120,777 and 262,332

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Solution

The third proportional to 120,777 and 262,332 is: 569,794.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,777 : 262,332 = 262,332 : x
  2. Step 2: Convert to fraction form
    120,777/262,332 = 262,332/x
  3. Step 3: Cross multiply
    120,777x = 262,332 × 262,332
  4. Step 4: Simplify right side
    120,777x = 68,818,078,224
  5. Step 5: Solve for x
    x = 68,818,078,224/120,777
  6. Step 6: Final answer
    x = 569,794.57

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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.