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Finding the Third Proportional to 117,868 and 254,426

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Solution

The third proportional to 117,868 and 254,426 is: 549,195.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,868 : 254,426 = 254,426 : x
  2. Step 2: Convert to fraction form
    117,868/254,426 = 254,426/x
  3. Step 3: Cross multiply
    117,868x = 254,426 × 254,426
  4. Step 4: Simplify right side
    117,868x = 64,732,589,476
  5. Step 5: Solve for x
    x = 64,732,589,476/117,868
  6. Step 6: Final answer
    x = 549,195.62

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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.