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Finding the Third Proportional to 185,562 and 404,820

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Solution

The third proportional to 185,562 and 404,820 is: 883,150.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,562 : 404,820 = 404,820 : x
  2. Step 2: Convert to fraction form
    185,562/404,820 = 404,820/x
  3. Step 3: Cross multiply
    185,562x = 404,820 × 404,820
  4. Step 4: Simplify right side
    185,562x = 163,879,232,400
  5. Step 5: Solve for x
    x = 163,879,232,400/185,562
  6. Step 6: Final answer
    x = 883,150.82

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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.