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Finding the Third Proportional to 120,411.75 and 264,658.50

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Solution

The third proportional to 120,411.75 and 264,658.50 is: 581,705.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,411.75 : 264,658.50 = 264,658.50 : x
  2. Step 2: Convert to fraction form
    120,411.75/264,658.50 = 264,658.50/x
  3. Step 3: Cross multiply
    120,411.75x = 264,658.50 × 264,658.50
  4. Step 4: Simplify right side
    120,411.75x = 70,044,121,622.25
  5. Step 5: Solve for x
    x = 70,044,121,622.25/120,411.75
  6. Step 6: Final answer
    x = 581,705.04

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.