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Finding the Third Proportional to 204,402 and 319,017

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Solution

The third proportional to 204,402 and 319,017 is: 497,900.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,402 : 319,017 = 319,017 : x
  2. Step 2: Convert to fraction form
    204,402/319,017 = 319,017/x
  3. Step 3: Cross multiply
    204,402x = 319,017 × 319,017
  4. Step 4: Simplify right side
    204,402x = 101,771,846,289
  5. Step 5: Solve for x
    x = 101,771,846,289/204,402
  6. Step 6: Final answer
    x = 497,900.44

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.