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Finding the Third Proportional to 120,757 and 264,842

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Solution

The third proportional to 120,757 and 264,842 is: 580,846.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,757 : 264,842 = 264,842 : x
  2. Step 2: Convert to fraction form
    120,757/264,842 = 264,842/x
  3. Step 3: Cross multiply
    120,757x = 264,842 × 264,842
  4. Step 4: Simplify right side
    120,757x = 70,141,284,964
  5. Step 5: Solve for x
    x = 70,141,284,964/120,757
  6. Step 6: Final answer
    x = 580,846.53

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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.