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Finding the Third Proportional to 122,757.19 and 264,871.69

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Solution

The third proportional to 122,757.19 and 264,871.69 is: 571,510.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,757.19 : 264,871.69 = 264,871.69 : x
  2. Step 2: Convert to fraction form
    122,757.19/264,871.69 = 264,871.69/x
  3. Step 3: Cross multiply
    122,757.19x = 264,871.69 × 264,871.69
  4. Step 4: Simplify right side
    122,757.19x = 70,157,010,839.10
  5. Step 5: Solve for x
    x = 70,157,010,839.10/122,757.19
  6. Step 6: Final answer
    x = 571,510.41

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.