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Finding the Third Proportional to 231,871.50 and 368,847

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Solution

The third proportional to 231,871.50 and 368,847 is: 586,739.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,871.50 : 368,847 = 368,847 : x
  2. Step 2: Convert to fraction form
    231,871.50/368,847 = 368,847/x
  3. Step 3: Cross multiply
    231,871.50x = 368,847 × 368,847
  4. Step 4: Simplify right side
    231,871.50x = 136,048,109,409
  5. Step 5: Solve for x
    x = 136,048,109,409/231,871.50
  6. Step 6: Final answer
    x = 586,739.25

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.