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Finding the Third Proportional to 64,245 and 151,865

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Solution

The third proportional to 64,245 and 151,865 is: 358,984.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,245 : 151,865 = 151,865 : x
  2. Step 2: Convert to fraction form
    64,245/151,865 = 151,865/x
  3. Step 3: Cross multiply
    64,245x = 151,865 × 151,865
  4. Step 4: Simplify right side
    64,245x = 23,062,978,225
  5. Step 5: Solve for x
    x = 23,062,978,225/64,245
  6. Step 6: Final answer
    x = 358,984.80

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.