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Finding the Third Proportional to 201,264 and 296,064

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Solution

The third proportional to 201,264 and 296,064 is: 435,516.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,264 : 296,064 = 296,064 : x
  2. Step 2: Convert to fraction form
    201,264/296,064 = 296,064/x
  3. Step 3: Cross multiply
    201,264x = 296,064 × 296,064
  4. Step 4: Simplify right side
    201,264x = 87,653,892,096
  5. Step 5: Solve for x
    x = 87,653,892,096/201,264
  6. Step 6: Final answer
    x = 435,516.99

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.