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Finding the Third Proportional to 185,022 and 404,283

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Solution

The third proportional to 185,022 and 404,283 is: 883,380.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,022 : 404,283 = 404,283 : x
  2. Step 2: Convert to fraction form
    185,022/404,283 = 404,283/x
  3. Step 3: Cross multiply
    185,022x = 404,283 × 404,283
  4. Step 4: Simplify right side
    185,022x = 163,444,744,089
  5. Step 5: Solve for x
    x = 163,444,744,089/185,022
  6. Step 6: Final answer
    x = 883,380.05

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.