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Finding the Third Proportional to 201,160 and 303,791

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Solution

The third proportional to 201,160 and 303,791 is: 458,783.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,160 : 303,791 = 303,791 : x
  2. Step 2: Convert to fraction form
    201,160/303,791 = 303,791/x
  3. Step 3: Cross multiply
    201,160x = 303,791 × 303,791
  4. Step 4: Simplify right side
    201,160x = 92,288,971,681
  5. Step 5: Solve for x
    x = 92,288,971,681/201,160
  6. Step 6: Final answer
    x = 458,783.91

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.