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Finding the Third Proportional to 134,876 and 291,622

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Solution

The third proportional to 134,876 and 291,622 is: 630,530.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,876 : 291,622 = 291,622 : x
  2. Step 2: Convert to fraction form
    134,876/291,622 = 291,622/x
  3. Step 3: Cross multiply
    134,876x = 291,622 × 291,622
  4. Step 4: Simplify right side
    134,876x = 85,043,390,884
  5. Step 5: Solve for x
    x = 85,043,390,884/134,876
  6. Step 6: Final answer
    x = 630,530.20

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.