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Finding the Third Proportional to 197,910 and 432,111

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Solution

The third proportional to 197,910 and 432,111 is: 943,458.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,910 : 432,111 = 432,111 : x
  2. Step 2: Convert to fraction form
    197,910/432,111 = 432,111/x
  3. Step 3: Cross multiply
    197,910x = 432,111 × 432,111
  4. Step 4: Simplify right side
    197,910x = 186,719,916,321
  5. Step 5: Solve for x
    x = 186,719,916,321/197,910
  6. Step 6: Final answer
    x = 943,458.73

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.