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Finding the Third Proportional to 207,318 and 320,141

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Solution

The third proportional to 207,318 and 320,141 is: 494,362.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,318 : 320,141 = 320,141 : x
  2. Step 2: Convert to fraction form
    207,318/320,141 = 320,141/x
  3. Step 3: Cross multiply
    207,318x = 320,141 × 320,141
  4. Step 4: Simplify right side
    207,318x = 102,490,259,881
  5. Step 5: Solve for x
    x = 102,490,259,881/207,318
  6. Step 6: Final answer
    x = 494,362.57

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.