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Finding the Third Proportional to 182,006 and 275,553

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Solution

The third proportional to 182,006 and 275,553 is: 417,181.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,006 : 275,553 = 275,553 : x
  2. Step 2: Convert to fraction form
    182,006/275,553 = 275,553/x
  3. Step 3: Cross multiply
    182,006x = 275,553 × 275,553
  4. Step 4: Simplify right side
    182,006x = 75,929,455,809
  5. Step 5: Solve for x
    x = 75,929,455,809/182,006
  6. Step 6: Final answer
    x = 417,181.06

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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.