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Finding the Third Proportional to 257,253 and 366,962

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Solution

The third proportional to 257,253 and 366,962 is: 523,457.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,253 : 366,962 = 366,962 : x
  2. Step 2: Convert to fraction form
    257,253/366,962 = 366,962/x
  3. Step 3: Cross multiply
    257,253x = 366,962 × 366,962
  4. Step 4: Simplify right side
    257,253x = 134,661,109,444
  5. Step 5: Solve for x
    x = 134,661,109,444/257,253
  6. Step 6: Final answer
    x = 523,457.88

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.