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Finding the Third Proportional to 185,201 and 280,383

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Solution

The third proportional to 185,201 and 280,383 is: 424,482.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,201 : 280,383 = 280,383 : x
  2. Step 2: Convert to fraction form
    185,201/280,383 = 280,383/x
  3. Step 3: Cross multiply
    185,201x = 280,383 × 280,383
  4. Step 4: Simplify right side
    185,201x = 78,614,626,689
  5. Step 5: Solve for x
    x = 78,614,626,689/185,201
  6. Step 6: Final answer
    x = 424,482.73

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.