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Finding the Third Proportional to 128,520.50 and 278,491

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Solution

The third proportional to 128,520.50 and 278,491 is: 603,461.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,520.50 : 278,491 = 278,491 : x
  2. Step 2: Convert to fraction form
    128,520.50/278,491 = 278,491/x
  3. Step 3: Cross multiply
    128,520.50x = 278,491 × 278,491
  4. Step 4: Simplify right side
    128,520.50x = 77,557,237,081
  5. Step 5: Solve for x
    x = 77,557,237,081/128,520.50
  6. Step 6: Final answer
    x = 603,461.99

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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.