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Finding the Third Proportional to 208,160 and 451,318

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Solution

The third proportional to 208,160 and 451,318 is: 978,516.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,160 : 451,318 = 451,318 : x
  2. Step 2: Convert to fraction form
    208,160/451,318 = 451,318/x
  3. Step 3: Cross multiply
    208,160x = 451,318 × 451,318
  4. Step 4: Simplify right side
    208,160x = 203,687,937,124
  5. Step 5: Solve for x
    x = 203,687,937,124/208,160
  6. Step 6: Final answer
    x = 978,516.22

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.