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Finding the Third Proportional to 230,830 and 368,755

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Solution

The third proportional to 230,830 and 368,755 is: 589,092.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,830 : 368,755 = 368,755 : x
  2. Step 2: Convert to fraction form
    230,830/368,755 = 368,755/x
  3. Step 3: Cross multiply
    230,830x = 368,755 × 368,755
  4. Step 4: Simplify right side
    230,830x = 135,980,250,025
  5. Step 5: Solve for x
    x = 135,980,250,025/230,830
  6. Step 6: Final answer
    x = 589,092.62

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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.