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Finding the Third Proportional to 113,773.50 and 248,283

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Solution

The third proportional to 113,773.50 and 248,283 is: 541,817.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,773.50 : 248,283 = 248,283 : x
  2. Step 2: Convert to fraction form
    113,773.50/248,283 = 248,283/x
  3. Step 3: Cross multiply
    113,773.50x = 248,283 × 248,283
  4. Step 4: Simplify right side
    113,773.50x = 61,644,448,089
  5. Step 5: Solve for x
    x = 61,644,448,089/113,773.50
  6. Step 6: Final answer
    x = 541,817.28

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.