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Finding the Third Proportional to 207,629.50 and 296,908

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Solution

The third proportional to 207,629.50 and 296,908 is: 424,575.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,629.50 : 296,908 = 296,908 : x
  2. Step 2: Convert to fraction form
    207,629.50/296,908 = 296,908/x
  3. Step 3: Cross multiply
    207,629.50x = 296,908 × 296,908
  4. Step 4: Simplify right side
    207,629.50x = 88,154,360,464
  5. Step 5: Solve for x
    x = 88,154,360,464/207,629.50
  6. Step 6: Final answer
    x = 424,575.32

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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.