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Finding the Third Proportional to 120,733.50 and 262,292.25

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Solution

The third proportional to 120,733.50 and 262,292.25 is: 569,827.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,733.50 : 262,292.25 = 262,292.25 : x
  2. Step 2: Convert to fraction form
    120,733.50/262,292.25 = 262,292.25/x
  3. Step 3: Cross multiply
    120,733.50x = 262,292.25 × 262,292.25
  4. Step 4: Simplify right side
    120,733.50x = 68,797,224,410.06
  5. Step 5: Solve for x
    x = 68,797,224,410.06/120,733.50
  6. Step 6: Final answer
    x = 569,827.14

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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.