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Finding the Third Proportional to 185,024 and 404,288

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Solution

The third proportional to 185,024 and 404,288 is: 883,392.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,024 : 404,288 = 404,288 : x
  2. Step 2: Convert to fraction form
    185,024/404,288 = 404,288/x
  3. Step 3: Cross multiply
    185,024x = 404,288 × 404,288
  4. Step 4: Simplify right side
    185,024x = 163,448,786,944
  5. Step 5: Solve for x
    x = 163,448,786,944/185,024
  6. Step 6: Final answer
    x = 883,392.35

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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.