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Finding the Third Proportional to 201,691 and 440,060

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Solution

The third proportional to 201,691 and 440,060 is: 960,145.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,691 : 440,060 = 440,060 : x
  2. Step 2: Convert to fraction form
    201,691/440,060 = 440,060/x
  3. Step 3: Cross multiply
    201,691x = 440,060 × 440,060
  4. Step 4: Simplify right side
    201,691x = 193,652,803,600
  5. Step 5: Solve for x
    x = 193,652,803,600/201,691
  6. Step 6: Final answer
    x = 960,145.98

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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.