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Finding the Third Proportional to 182,477 and 290,577

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Solution

The third proportional to 182,477 and 290,577 is: 462,715.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,477 : 290,577 = 290,577 : x
  2. Step 2: Convert to fraction form
    182,477/290,577 = 290,577/x
  3. Step 3: Cross multiply
    182,477x = 290,577 × 290,577
  4. Step 4: Simplify right side
    182,477x = 84,434,992,929
  5. Step 5: Solve for x
    x = 84,434,992,929/182,477
  6. Step 6: Final answer
    x = 462,715.81

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.