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Finding the Third Proportional to 113,443 and 238,495

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Solution

The third proportional to 113,443 and 238,495 is: 501,395.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,443 : 238,495 = 238,495 : x
  2. Step 2: Convert to fraction form
    113,443/238,495 = 238,495/x
  3. Step 3: Cross multiply
    113,443x = 238,495 × 238,495
  4. Step 4: Simplify right side
    113,443x = 56,879,865,025
  5. Step 5: Solve for x
    x = 56,879,865,025/113,443
  6. Step 6: Final answer
    x = 501,395.99

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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.