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Finding the Third Proportional to 185,354 and 404,702

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Solution

The third proportional to 185,354 and 404,702 is: 883,626.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,354 : 404,702 = 404,702 : x
  2. Step 2: Convert to fraction form
    185,354/404,702 = 404,702/x
  3. Step 3: Cross multiply
    185,354x = 404,702 × 404,702
  4. Step 4: Simplify right side
    185,354x = 163,783,708,804
  5. Step 5: Solve for x
    x = 163,783,708,804/185,354
  6. Step 6: Final answer
    x = 883,626.51

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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.