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Finding the Third Proportional to 203,571 and 307,584

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Solution

The third proportional to 203,571 and 307,584 is: 464,741.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,571 : 307,584 = 307,584 : x
  2. Step 2: Convert to fraction form
    203,571/307,584 = 307,584/x
  3. Step 3: Cross multiply
    203,571x = 307,584 × 307,584
  4. Step 4: Simplify right side
    203,571x = 94,607,917,056
  5. Step 5: Solve for x
    x = 94,607,917,056/203,571
  6. Step 6: Final answer
    x = 464,741.62

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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.