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Finding the Third Proportional to 117,364.78 and 244,657.13

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Solution

The third proportional to 117,364.78 and 244,657.13 is: 510,009.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,364.78 : 244,657.13 = 244,657.13 : x
  2. Step 2: Convert to fraction form
    117,364.78/244,657.13 = 244,657.13/x
  3. Step 3: Cross multiply
    117,364.78x = 244,657.13 × 244,657.13
  4. Step 4: Simplify right side
    117,364.78x = 59,857,108,813.27
  5. Step 5: Solve for x
    x = 59,857,108,813.27/117,364.78
  6. Step 6: Final answer
    x = 510,009.12

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.