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Finding the Third Proportional to 113,705.02 and 241,272.42

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Solution

The third proportional to 113,705.02 and 241,272.42 is: 511,959.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,705.02 : 241,272.42 = 241,272.42 : x
  2. Step 2: Convert to fraction form
    113,705.02/241,272.42 = 241,272.42/x
  3. Step 3: Cross multiply
    113,705.02x = 241,272.42 × 241,272.42
  4. Step 4: Simplify right side
    113,705.02x = 58,212,381,557.43
  5. Step 5: Solve for x
    x = 58,212,381,557.43/113,705.02
  6. Step 6: Final answer
    x = 511,959.66

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.