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Finding the Third Proportional to 113,169 and 238,731

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Solution

The third proportional to 113,169 and 238,731 is: 503,605.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,169 : 238,731 = 238,731 : x
  2. Step 2: Convert to fraction form
    113,169/238,731 = 238,731/x
  3. Step 3: Cross multiply
    113,169x = 238,731 × 238,731
  4. Step 4: Simplify right side
    113,169x = 56,992,490,361
  5. Step 5: Solve for x
    x = 56,992,490,361/113,169
  6. Step 6: Final answer
    x = 503,605.14

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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.