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Finding the Third Proportional to 128,048 and 280,488

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Solution

The third proportional to 128,048 and 280,488 is: 614,406.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,048 : 280,488 = 280,488 : x
  2. Step 2: Convert to fraction form
    128,048/280,488 = 280,488/x
  3. Step 3: Cross multiply
    128,048x = 280,488 × 280,488
  4. Step 4: Simplify right side
    128,048x = 78,673,518,144
  5. Step 5: Solve for x
    x = 78,673,518,144/128,048
  6. Step 6: Final answer
    x = 614,406.46

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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.