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Finding the Third Proportional to 185,616 and 404,688

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Solution

The third proportional to 185,616 and 404,688 is: 882,318.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,616 : 404,688 = 404,688 : x
  2. Step 2: Convert to fraction form
    185,616/404,688 = 404,688/x
  3. Step 3: Cross multiply
    185,616x = 404,688 × 404,688
  4. Step 4: Simplify right side
    185,616x = 163,772,377,344
  5. Step 5: Solve for x
    x = 163,772,377,344/185,616
  6. Step 6: Final answer
    x = 882,318.21

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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.