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Finding the Third Proportional to 194,984 and 425,224

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Solution

The third proportional to 194,984 and 425,224 is: 927,334.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,984 : 425,224 = 425,224 : x
  2. Step 2: Convert to fraction form
    194,984/425,224 = 425,224/x
  3. Step 3: Cross multiply
    194,984x = 425,224 × 425,224
  4. Step 4: Simplify right side
    194,984x = 180,815,450,176
  5. Step 5: Solve for x
    x = 180,815,450,176/194,984
  6. Step 6: Final answer
    x = 927,334.81

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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.