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Finding the Third Proportional to 120,048 and 260,448

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Solution

The third proportional to 120,048 and 260,448 is: 565,050.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,048 : 260,448 = 260,448 : x
  2. Step 2: Convert to fraction form
    120,048/260,448 = 260,448/x
  3. Step 3: Cross multiply
    120,048x = 260,448 × 260,448
  4. Step 4: Simplify right side
    120,048x = 67,833,160,704
  5. Step 5: Solve for x
    x = 67,833,160,704/120,048
  6. Step 6: Final answer
    x = 565,050.32

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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.