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Finding the Third Proportional to 137,384.25 and 295,484.25

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Solution

The third proportional to 137,384.25 and 295,484.25 is: 635,523.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,384.25 : 295,484.25 = 295,484.25 : x
  2. Step 2: Convert to fraction form
    137,384.25/295,484.25 = 295,484.25/x
  3. Step 3: Cross multiply
    137,384.25x = 295,484.25 × 295,484.25
  4. Step 4: Simplify right side
    137,384.25x = 87,310,941,998.06
  5. Step 5: Solve for x
    x = 87,310,941,998.06/137,384.25
  6. Step 6: Final answer
    x = 635,523.66

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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.