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Finding the Third Proportional to 202,824.84 and 309,600.56

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Solution

The third proportional to 202,824.84 and 309,600.56 is: 472,587.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,824.84 : 309,600.56 = 309,600.56 : x
  2. Step 2: Convert to fraction form
    202,824.84/309,600.56 = 309,600.56/x
  3. Step 3: Cross multiply
    202,824.84x = 309,600.56 × 309,600.56
  4. Step 4: Simplify right side
    202,824.84x = 95,852,508,300.32
  5. Step 5: Solve for x
    x = 95,852,508,300.32/202,824.84
  6. Step 6: Final answer
    x = 472,587.61

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.