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Finding the Third Proportional to 204,023 and 444,178

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Solution

The third proportional to 204,023 and 444,178 is: 967,018.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,023 : 444,178 = 444,178 : x
  2. Step 2: Convert to fraction form
    204,023/444,178 = 444,178/x
  3. Step 3: Cross multiply
    204,023x = 444,178 × 444,178
  4. Step 4: Simplify right side
    204,023x = 197,294,095,684
  5. Step 5: Solve for x
    x = 197,294,095,684/204,023
  6. Step 6: Final answer
    x = 967,018.89

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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.