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Finding the Third Proportional to 230,872.50 and 368,817

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Solution

The third proportional to 230,872.50 and 368,817 is: 589,182.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,872.50 : 368,817 = 368,817 : x
  2. Step 2: Convert to fraction form
    230,872.50/368,817 = 368,817/x
  3. Step 3: Cross multiply
    230,872.50x = 368,817 × 368,817
  4. Step 4: Simplify right side
    230,872.50x = 136,025,979,489
  5. Step 5: Solve for x
    x = 136,025,979,489/230,872.50
  6. Step 6: Final answer
    x = 589,182.25

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.