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Finding the Third Proportional to 181,994 and 280,767

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Solution

The third proportional to 181,994 and 280,767 is: 433,146.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,994 : 280,767 = 280,767 : x
  2. Step 2: Convert to fraction form
    181,994/280,767 = 280,767/x
  3. Step 3: Cross multiply
    181,994x = 280,767 × 280,767
  4. Step 4: Simplify right side
    181,994x = 78,830,108,289
  5. Step 5: Solve for x
    x = 78,830,108,289/181,994
  6. Step 6: Final answer
    x = 433,146.74

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.