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Finding the Third Proportional to 194,871 and 425,007

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Solution

The third proportional to 194,871 and 425,007 is: 926,925.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,871 : 425,007 = 425,007 : x
  2. Step 2: Convert to fraction form
    194,871/425,007 = 425,007/x
  3. Step 3: Cross multiply
    194,871x = 425,007 × 425,007
  4. Step 4: Simplify right side
    194,871x = 180,630,950,049
  5. Step 5: Solve for x
    x = 180,630,950,049/194,871
  6. Step 6: Final answer
    x = 926,925.76

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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.