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Finding the Third Proportional to 137,797 and 295,276

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Solution

The third proportional to 137,797 and 295,276 is: 632,727.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,797 : 295,276 = 295,276 : x
  2. Step 2: Convert to fraction form
    137,797/295,276 = 295,276/x
  3. Step 3: Cross multiply
    137,797x = 295,276 × 295,276
  4. Step 4: Simplify right side
    137,797x = 87,187,916,176
  5. Step 5: Solve for x
    x = 87,187,916,176/137,797
  6. Step 6: Final answer
    x = 632,727.24

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.