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Finding the Third Proportional to 201,680 and 440,038

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Solution

The third proportional to 201,680 and 440,038 is: 960,102.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,680 : 440,038 = 440,038 : x
  2. Step 2: Convert to fraction form
    201,680/440,038 = 440,038/x
  3. Step 3: Cross multiply
    201,680x = 440,038 × 440,038
  4. Step 4: Simplify right side
    201,680x = 193,633,441,444
  5. Step 5: Solve for x
    x = 193,633,441,444/201,680
  6. Step 6: Final answer
    x = 960,102.35

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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.