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Finding the Third Proportional to 183,520.75 and 280,767.13

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Solution

The third proportional to 183,520.75 and 280,767.13 is: 429,543.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,520.75 : 280,767.13 = 280,767.13 : x
  2. Step 2: Convert to fraction form
    183,520.75/280,767.13 = 280,767.13/x
  3. Step 3: Cross multiply
    183,520.75x = 280,767.13 × 280,767.13
  4. Step 4: Simplify right side
    183,520.75x = 78,830,178,480.77
  5. Step 5: Solve for x
    x = 78,830,178,480.77/183,520.75
  6. Step 6: Final answer
    x = 429,543.68

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.