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Finding the Third Proportional to 134,238 and 292,176

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Solution

The third proportional to 134,238 and 292,176 is: 635,936.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,238 : 292,176 = 292,176 : x
  2. Step 2: Convert to fraction form
    134,238/292,176 = 292,176/x
  3. Step 3: Cross multiply
    134,238x = 292,176 × 292,176
  4. Step 4: Simplify right side
    134,238x = 85,366,814,976
  5. Step 5: Solve for x
    x = 85,366,814,976/134,238
  6. Step 6: Final answer
    x = 635,936.28

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.