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Finding the Third Proportional to 120,733.50 and 262,210

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Solution

The third proportional to 120,733.50 and 262,210 is: 569,469.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,733.50 : 262,210 = 262,210 : x
  2. Step 2: Convert to fraction form
    120,733.50/262,210 = 262,210/x
  3. Step 3: Cross multiply
    120,733.50x = 262,210 × 262,210
  4. Step 4: Simplify right side
    120,733.50x = 68,754,084,100
  5. Step 5: Solve for x
    x = 68,754,084,100/120,733.50
  6. Step 6: Final answer
    x = 569,469.82

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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.