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Finding the Third Proportional to 180,416 and 274,877

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Solution

The third proportional to 180,416 and 274,877 is: 418,795.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,416 : 274,877 = 274,877 : x
  2. Step 2: Convert to fraction form
    180,416/274,877 = 274,877/x
  3. Step 3: Cross multiply
    180,416x = 274,877 × 274,877
  4. Step 4: Simplify right side
    180,416x = 75,557,365,129
  5. Step 5: Solve for x
    x = 75,557,365,129/180,416
  6. Step 6: Final answer
    x = 418,795.26

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.