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Finding the Third Proportional to 197,753 and 432,982

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Solution

The third proportional to 197,753 and 432,982 is: 948,018.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,753 : 432,982 = 432,982 : x
  2. Step 2: Convert to fraction form
    197,753/432,982 = 432,982/x
  3. Step 3: Cross multiply
    197,753x = 432,982 × 432,982
  4. Step 4: Simplify right side
    197,753x = 187,473,412,324
  5. Step 5: Solve for x
    x = 187,473,412,324/197,753
  6. Step 6: Final answer
    x = 948,018.04

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.