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Finding the Third Proportional to 194,929 and 425,578

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Solution

The third proportional to 194,929 and 425,578 is: 929,141.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,929 : 425,578 = 425,578 : x
  2. Step 2: Convert to fraction form
    194,929/425,578 = 425,578/x
  3. Step 3: Cross multiply
    194,929x = 425,578 × 425,578
  4. Step 4: Simplify right side
    194,929x = 181,116,634,084
  5. Step 5: Solve for x
    x = 181,116,634,084/194,929
  6. Step 6: Final answer
    x = 929,141.55

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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.