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Finding the Third Proportional to 194,949.75 and 285,665.63

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Solution

The third proportional to 194,949.75 and 285,665.63 is: 418,594.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,949.75 : 285,665.63 = 285,665.63 : x
  2. Step 2: Convert to fraction form
    194,949.75/285,665.63 = 285,665.63/x
  3. Step 3: Cross multiply
    194,949.75x = 285,665.63 × 285,665.63
  4. Step 4: Simplify right side
    194,949.75x = 81,604,849,306.64
  5. Step 5: Solve for x
    x = 81,604,849,306.64/194,949.75
  6. Step 6: Final answer
    x = 418,594.28

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.