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Finding the Third Proportional to 113,398.50 and 248,343

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Solution

The third proportional to 113,398.50 and 248,343 is: 543,871.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,398.50 : 248,343 = 248,343 : x
  2. Step 2: Convert to fraction form
    113,398.50/248,343 = 248,343/x
  3. Step 3: Cross multiply
    113,398.50x = 248,343 × 248,343
  4. Step 4: Simplify right side
    113,398.50x = 61,674,245,649
  5. Step 5: Solve for x
    x = 61,674,245,649/113,398.50
  6. Step 6: Final answer
    x = 543,871.79

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.