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Finding the Third Proportional to 134,284 and 197,714

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Solution

The third proportional to 134,284 and 197,714 is: 291,105.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,284 : 197,714 = 197,714 : x
  2. Step 2: Convert to fraction form
    134,284/197,714 = 197,714/x
  3. Step 3: Cross multiply
    134,284x = 197,714 × 197,714
  4. Step 4: Simplify right side
    134,284x = 39,090,825,796
  5. Step 5: Solve for x
    x = 39,090,825,796/134,284
  6. Step 6: Final answer
    x = 291,105.61

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.