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Finding the Third Proportional to 185,376.75 and 404,733

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Solution

The third proportional to 185,376.75 and 404,733 is: 883,653.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,376.75 : 404,733 = 404,733 : x
  2. Step 2: Convert to fraction form
    185,376.75/404,733 = 404,733/x
  3. Step 3: Cross multiply
    185,376.75x = 404,733 × 404,733
  4. Step 4: Simplify right side
    185,376.75x = 163,808,801,289
  5. Step 5: Solve for x
    x = 163,808,801,289/185,376.75
  6. Step 6: Final answer
    x = 883,653.43

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.