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Finding the Third Proportional to 134,894 and 197,967

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Solution

The third proportional to 134,894 and 197,967 is: 290,531.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,894 : 197,967 = 197,967 : x
  2. Step 2: Convert to fraction form
    134,894/197,967 = 197,967/x
  3. Step 3: Cross multiply
    134,894x = 197,967 × 197,967
  4. Step 4: Simplify right side
    134,894x = 39,190,933,089
  5. Step 5: Solve for x
    x = 39,190,933,089/134,894
  6. Step 6: Final answer
    x = 290,531.33

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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.