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Finding the Third Proportional to 117,614 and 241,465

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Solution

The third proportional to 117,614 and 241,465 is: 495,734.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,614 : 241,465 = 241,465 : x
  2. Step 2: Convert to fraction form
    117,614/241,465 = 241,465/x
  3. Step 3: Cross multiply
    117,614x = 241,465 × 241,465
  4. Step 4: Simplify right side
    117,614x = 58,305,346,225
  5. Step 5: Solve for x
    x = 58,305,346,225/117,614
  6. Step 6: Final answer
    x = 495,734.74

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.