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Finding the Third Proportional to 181,998 and 280,773

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Solution

The third proportional to 181,998 and 280,773 is: 433,155.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,998 : 280,773 = 280,773 : x
  2. Step 2: Convert to fraction form
    181,998/280,773 = 280,773/x
  3. Step 3: Cross multiply
    181,998x = 280,773 × 280,773
  4. Step 4: Simplify right side
    181,998x = 78,833,477,529
  5. Step 5: Solve for x
    x = 78,833,477,529/181,998
  6. Step 6: Final answer
    x = 433,155.74

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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.