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Finding the Third Proportional to 113,192 and 237,399

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Solution

The third proportional to 113,192 and 237,399 is: 497,899.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,192 : 237,399 = 237,399 : x
  2. Step 2: Convert to fraction form
    113,192/237,399 = 237,399/x
  3. Step 3: Cross multiply
    113,192x = 237,399 × 237,399
  4. Step 4: Simplify right side
    113,192x = 56,358,285,201
  5. Step 5: Solve for x
    x = 56,358,285,201/113,192
  6. Step 6: Final answer
    x = 497,899.90

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.