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Finding the Third Proportional to 113,017.50 and 241,764

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Solution

The third proportional to 113,017.50 and 241,764 is: 517,175.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,017.50 : 241,764 = 241,764 : x
  2. Step 2: Convert to fraction form
    113,017.50/241,764 = 241,764/x
  3. Step 3: Cross multiply
    113,017.50x = 241,764 × 241,764
  4. Step 4: Simplify right side
    113,017.50x = 58,449,831,696
  5. Step 5: Solve for x
    x = 58,449,831,696/113,017.50
  6. Step 6: Final answer
    x = 517,175.05

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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.