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Finding the Third Proportional to 194,871 and 418,750

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Solution

The third proportional to 194,871 and 418,750 is: 899,834.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,871 : 418,750 = 418,750 : x
  2. Step 2: Convert to fraction form
    194,871/418,750 = 418,750/x
  3. Step 3: Cross multiply
    194,871x = 418,750 × 418,750
  4. Step 4: Simplify right side
    194,871x = 175,351,562,500
  5. Step 5: Solve for x
    x = 175,351,562,500/194,871
  6. Step 6: Final answer
    x = 899,834.06

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.