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Finding the Third Proportional to 184,804 and 400,688

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Solution

The third proportional to 184,804 and 400,688 is: 868,762.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,804 : 400,688 = 400,688 : x
  2. Step 2: Convert to fraction form
    184,804/400,688 = 400,688/x
  3. Step 3: Cross multiply
    184,804x = 400,688 × 400,688
  4. Step 4: Simplify right side
    184,804x = 160,550,873,344
  5. Step 5: Solve for x
    x = 160,550,873,344/184,804
  6. Step 6: Final answer
    x = 868,762.98

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.