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Finding the Third Proportional to 117,705 and 241,605

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Solution

The third proportional to 117,705 and 241,605 is: 495,926.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,705 : 241,605 = 241,605 : x
  2. Step 2: Convert to fraction form
    117,705/241,605 = 241,605/x
  3. Step 3: Cross multiply
    117,705x = 241,605 × 241,605
  4. Step 4: Simplify right side
    117,705x = 58,372,976,025
  5. Step 5: Solve for x
    x = 58,372,976,025/117,705
  6. Step 6: Final answer
    x = 495,926.05

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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.