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Finding the Third Proportional to 113,416.50 and 238,443

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Solution

The third proportional to 113,416.50 and 238,443 is: 501,294.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,416.50 : 238,443 = 238,443 : x
  2. Step 2: Convert to fraction form
    113,416.50/238,443 = 238,443/x
  3. Step 3: Cross multiply
    113,416.50x = 238,443 × 238,443
  4. Step 4: Simplify right side
    113,416.50x = 56,855,064,249
  5. Step 5: Solve for x
    x = 56,855,064,249/113,416.50
  6. Step 6: Final answer
    x = 501,294.47

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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.