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Finding the Third Proportional to 194,980 and 425,216

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Solution

The third proportional to 194,980 and 425,216 is: 927,318.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,980 : 425,216 = 425,216 : x
  2. Step 2: Convert to fraction form
    194,980/425,216 = 425,216/x
  3. Step 3: Cross multiply
    194,980x = 425,216 × 425,216
  4. Step 4: Simplify right side
    194,980x = 180,808,646,656
  5. Step 5: Solve for x
    x = 180,808,646,656/194,980
  6. Step 6: Final answer
    x = 927,318.94

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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.