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Finding the Third Proportional to 185,363.25 and 404,706

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Solution

The third proportional to 185,363.25 and 404,706 is: 883,599.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,363.25 : 404,706 = 404,706 : x
  2. Step 2: Convert to fraction form
    185,363.25/404,706 = 404,706/x
  3. Step 3: Cross multiply
    185,363.25x = 404,706 × 404,706
  4. Step 4: Simplify right side
    185,363.25x = 163,786,946,436
  5. Step 5: Solve for x
    x = 163,786,946,436/185,363.25
  6. Step 6: Final answer
    x = 883,599.89

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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.