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Finding the Third Proportional to 117,616 and 241,470

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Solution

The third proportional to 117,616 and 241,470 is: 495,746.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,616 : 241,470 = 241,470 : x
  2. Step 2: Convert to fraction form
    117,616/241,470 = 241,470/x
  3. Step 3: Cross multiply
    117,616x = 241,470 × 241,470
  4. Step 4: Simplify right side
    117,616x = 58,307,760,900
  5. Step 5: Solve for x
    x = 58,307,760,900/117,616
  6. Step 6: Final answer
    x = 495,746.84

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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.