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Finding the Third Proportional to 201,154 and 440,996

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Solution

The third proportional to 201,154 and 440,996 is: 966,808.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,154 : 440,996 = 440,996 : x
  2. Step 2: Convert to fraction form
    201,154/440,996 = 440,996/x
  3. Step 3: Cross multiply
    201,154x = 440,996 × 440,996
  4. Step 4: Simplify right side
    201,154x = 194,477,472,016
  5. Step 5: Solve for x
    x = 194,477,472,016/201,154
  6. Step 6: Final answer
    x = 966,808.87

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.