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Finding the Third Proportional to 182,971 and 285,522

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Solution

The third proportional to 182,971 and 285,522 is: 445,550.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,971 : 285,522 = 285,522 : x
  2. Step 2: Convert to fraction form
    182,971/285,522 = 285,522/x
  3. Step 3: Cross multiply
    182,971x = 285,522 × 285,522
  4. Step 4: Simplify right side
    182,971x = 81,522,812,484
  5. Step 5: Solve for x
    x = 81,522,812,484/182,971
  6. Step 6: Final answer
    x = 445,550.46

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.