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Finding the Third Proportional to 113,031.56 and 241,608.94

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Solution

The third proportional to 113,031.56 and 241,608.94 is: 516,447.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,031.56 : 241,608.94 = 241,608.94 : x
  2. Step 2: Convert to fraction form
    113,031.56/241,608.94 = 241,608.94/x
  3. Step 3: Cross multiply
    113,031.56x = 241,608.94 × 241,608.94
  4. Step 4: Simplify right side
    113,031.56x = 58,374,878,679.88
  5. Step 5: Solve for x
    x = 58,374,878,679.88/113,031.56
  6. Step 6: Final answer
    x = 516,447.60

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.