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Finding the Third Proportional to 202,848 and 296,760

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Solution

The third proportional to 202,848 and 296,760 is: 434,150.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,848 : 296,760 = 296,760 : x
  2. Step 2: Convert to fraction form
    202,848/296,760 = 296,760/x
  3. Step 3: Cross multiply
    202,848x = 296,760 × 296,760
  4. Step 4: Simplify right side
    202,848x = 88,066,497,600
  5. Step 5: Solve for x
    x = 88,066,497,600/202,848
  6. Step 6: Final answer
    x = 434,150.19

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.