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Finding the Third Proportional to 137,336.77 and 295,381.69

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Solution

The third proportional to 137,336.77 and 295,381.69 is: 635,302.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,336.77 : 295,381.69 = 295,381.69 : x
  2. Step 2: Convert to fraction form
    137,336.77/295,381.69 = 295,381.69/x
  3. Step 3: Cross multiply
    137,336.77x = 295,381.69 × 295,381.69
  4. Step 4: Simplify right side
    137,336.77x = 87,250,341,310.35
  5. Step 5: Solve for x
    x = 87,250,341,310.35/137,336.77
  6. Step 6: Final answer
    x = 635,302.14

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.