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Finding the Third Proportional to 112,351 and 237,379

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Solution

The third proportional to 112,351 and 237,379 is: 501,542.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,351 : 237,379 = 237,379 : x
  2. Step 2: Convert to fraction form
    112,351/237,379 = 237,379/x
  3. Step 3: Cross multiply
    112,351x = 237,379 × 237,379
  4. Step 4: Simplify right side
    112,351x = 56,348,789,641
  5. Step 5: Solve for x
    x = 56,348,789,641/112,351
  6. Step 6: Final answer
    x = 501,542.40

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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.