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Finding the Third Proportional to 182,319 and 275,913

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Solution

The third proportional to 182,319 and 275,913 is: 417,553.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,319 : 275,913 = 275,913 : x
  2. Step 2: Convert to fraction form
    182,319/275,913 = 275,913/x
  3. Step 3: Cross multiply
    182,319x = 275,913 × 275,913
  4. Step 4: Simplify right side
    182,319x = 76,127,983,569
  5. Step 5: Solve for x
    x = 76,127,983,569/182,319
  6. Step 6: Final answer
    x = 417,553.76

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.