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Finding the Third Proportional to 134,115 and 293,142

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Solution

The third proportional to 134,115 and 293,142 is: 640,735.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,115 : 293,142 = 293,142 : x
  2. Step 2: Convert to fraction form
    134,115/293,142 = 293,142/x
  3. Step 3: Cross multiply
    134,115x = 293,142 × 293,142
  4. Step 4: Simplify right side
    134,115x = 85,932,232,164
  5. Step 5: Solve for x
    x = 85,932,232,164/134,115
  6. Step 6: Final answer
    x = 640,735.43

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.