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Finding the Third Proportional to 201,757 and 442,696

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Solution

The third proportional to 201,757 and 442,696 is: 971,365.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,757 : 442,696 = 442,696 : x
  2. Step 2: Convert to fraction form
    201,757/442,696 = 442,696/x
  3. Step 3: Cross multiply
    201,757x = 442,696 × 442,696
  4. Step 4: Simplify right side
    201,757x = 195,979,748,416
  5. Step 5: Solve for x
    x = 195,979,748,416/201,757
  6. Step 6: Final answer
    x = 971,365.30

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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.