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Finding the Third Proportional to 194,765 and 291,372

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Solution

The third proportional to 194,765 and 291,372 is: 435,897.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,765 : 291,372 = 291,372 : x
  2. Step 2: Convert to fraction form
    194,765/291,372 = 291,372/x
  3. Step 3: Cross multiply
    194,765x = 291,372 × 291,372
  4. Step 4: Simplify right side
    194,765x = 84,897,642,384
  5. Step 5: Solve for x
    x = 84,897,642,384/194,765
  6. Step 6: Final answer
    x = 435,897.84

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.