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Finding the Third Proportional to 181,745 and 385,522

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Solution

The third proportional to 181,745 and 385,522 is: 817,778.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,745 : 385,522 = 385,522 : x
  2. Step 2: Convert to fraction form
    181,745/385,522 = 385,522/x
  3. Step 3: Cross multiply
    181,745x = 385,522 × 385,522
  4. Step 4: Simplify right side
    181,745x = 148,627,212,484
  5. Step 5: Solve for x
    x = 148,627,212,484/181,745
  6. Step 6: Final answer
    x = 817,778.82

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.