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Finding the Third Proportional to 201,152 and 303,779

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Solution

The third proportional to 201,152 and 303,779 is: 458,765.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,152 : 303,779 = 303,779 : x
  2. Step 2: Convert to fraction form
    201,152/303,779 = 303,779/x
  3. Step 3: Cross multiply
    201,152x = 303,779 × 303,779
  4. Step 4: Simplify right side
    201,152x = 92,281,680,841
  5. Step 5: Solve for x
    x = 92,281,680,841/201,152
  6. Step 6: Final answer
    x = 458,765.91

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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.