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Finding the Third Proportional to 202,360 and 296,978

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Solution

The third proportional to 202,360 and 296,978 is: 435,836.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,360 : 296,978 = 296,978 : x
  2. Step 2: Convert to fraction form
    202,360/296,978 = 296,978/x
  3. Step 3: Cross multiply
    202,360x = 296,978 × 296,978
  4. Step 4: Simplify right side
    202,360x = 88,195,932,484
  5. Step 5: Solve for x
    x = 88,195,932,484/202,360
  6. Step 6: Final answer
    x = 435,836.79

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.