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Finding the Third Proportional to 134,897 and 197,971

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Solution

The third proportional to 134,897 and 197,971 is: 290,536.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,897 : 197,971 = 197,971 : x
  2. Step 2: Convert to fraction form
    134,897/197,971 = 197,971/x
  3. Step 3: Cross multiply
    134,897x = 197,971 × 197,971
  4. Step 4: Simplify right side
    134,897x = 39,192,516,841
  5. Step 5: Solve for x
    x = 39,192,516,841/134,897
  6. Step 6: Final answer
    x = 290,536.61

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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.