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Finding the Third Proportional to 201,069 and 296,925

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Solution

The third proportional to 201,069 and 296,925 is: 438,478.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,069 : 296,925 = 296,925 : x
  2. Step 2: Convert to fraction form
    201,069/296,925 = 296,925/x
  3. Step 3: Cross multiply
    201,069x = 296,925 × 296,925
  4. Step 4: Simplify right side
    201,069x = 88,164,455,625
  5. Step 5: Solve for x
    x = 88,164,455,625/201,069
  6. Step 6: Final answer
    x = 438,478.61

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.