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Finding the Third Proportional to 112,471 and 237,584

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Solution

The third proportional to 112,471 and 237,584 is: 501,872.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,471 : 237,584 = 237,584 : x
  2. Step 2: Convert to fraction form
    112,471/237,584 = 237,584/x
  3. Step 3: Cross multiply
    112,471x = 237,584 × 237,584
  4. Step 4: Simplify right side
    112,471x = 56,446,157,056
  5. Step 5: Solve for x
    x = 56,446,157,056/112,471
  6. Step 6: Final answer
    x = 501,872.99

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.