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Finding the Third Proportional to 238,994 and 366,847

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Solution

The third proportional to 238,994 and 366,847 is: 563,096.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,994 : 366,847 = 366,847 : x
  2. Step 2: Convert to fraction form
    238,994/366,847 = 366,847/x
  3. Step 3: Cross multiply
    238,994x = 366,847 × 366,847
  4. Step 4: Simplify right side
    238,994x = 134,576,721,409
  5. Step 5: Solve for x
    x = 134,576,721,409/238,994
  6. Step 6: Final answer
    x = 563,096.65

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Why These Related Problems?

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