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Finding the Third Proportional to 113,449 and 238,508

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Solution

The third proportional to 113,449 and 238,508 is: 501,424.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,449 : 238,508 = 238,508 : x
  2. Step 2: Convert to fraction form
    113,449/238,508 = 238,508/x
  3. Step 3: Cross multiply
    113,449x = 238,508 × 238,508
  4. Step 4: Simplify right side
    113,449x = 56,886,066,064
  5. Step 5: Solve for x
    x = 56,886,066,064/113,449
  6. Step 6: Final answer
    x = 501,424.13

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