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Finding the Third Proportional to 201,771 and 442,725.75

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Solution

The third proportional to 201,771 and 442,725.75 is: 971,428.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,771 : 442,725.75 = 442,725.75 : x
  2. Step 2: Convert to fraction form
    201,771/442,725.75 = 442,725.75/x
  3. Step 3: Cross multiply
    201,771x = 442,725.75 × 442,725.75
  4. Step 4: Simplify right side
    201,771x = 196,006,089,713.06
  5. Step 5: Solve for x
    x = 196,006,089,713.06/201,771
  6. Step 6: Final answer
    x = 971,428.45

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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.