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Finding the Third Proportional to 193,755 and 432,870

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Solution

The third proportional to 193,755 and 432,870 is: 967,079.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,755 : 432,870 = 432,870 : x
  2. Step 2: Convert to fraction form
    193,755/432,870 = 432,870/x
  3. Step 3: Cross multiply
    193,755x = 432,870 × 432,870
  4. Step 4: Simplify right side
    193,755x = 187,376,436,900
  5. Step 5: Solve for x
    x = 187,376,436,900/193,755
  6. Step 6: Final answer
    x = 967,079.23

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.