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Finding the Third Proportional to 207,628.31 and 296,906.34

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Solution

The third proportional to 207,628.31 and 296,906.34 is: 424,573.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,628.31 : 296,906.34 = 296,906.34 : x
  2. Step 2: Convert to fraction form
    207,628.31/296,906.34 = 296,906.34/x
  3. Step 3: Cross multiply
    207,628.31x = 296,906.34 × 296,906.34
  4. Step 4: Simplify right side
    207,628.31x = 88,153,376,958.99
  5. Step 5: Solve for x
    x = 88,153,376,958.99/207,628.31
  6. Step 6: Final answer
    x = 424,573.01

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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.