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Finding the Third Proportional to 186,997.50 and 385,022

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Solution

The third proportional to 186,997.50 and 385,022 is: 792,748.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,997.50 : 385,022 = 385,022 : x
  2. Step 2: Convert to fraction form
    186,997.50/385,022 = 385,022/x
  3. Step 3: Cross multiply
    186,997.50x = 385,022 × 385,022
  4. Step 4: Simplify right side
    186,997.50x = 148,241,940,484
  5. Step 5: Solve for x
    x = 148,241,940,484/186,997.50
  6. Step 6: Final answer
    x = 792,748.25

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.