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Finding the Third Proportional to 215,622 and 308,754

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Solution

The third proportional to 215,622 and 308,754 is: 442,111.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,622 : 308,754 = 308,754 : x
  2. Step 2: Convert to fraction form
    215,622/308,754 = 308,754/x
  3. Step 3: Cross multiply
    215,622x = 308,754 × 308,754
  4. Step 4: Simplify right side
    215,622x = 95,329,032,516
  5. Step 5: Solve for x
    x = 95,329,032,516/215,622
  6. Step 6: Final answer
    x = 442,111.81

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.