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Finding the Third Proportional to 231,175.50 and 362,736

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Solution

The third proportional to 231,175.50 and 362,736 is: 569,166.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,175.50 : 362,736 = 362,736 : x
  2. Step 2: Convert to fraction form
    231,175.50/362,736 = 362,736/x
  3. Step 3: Cross multiply
    231,175.50x = 362,736 × 362,736
  4. Step 4: Simplify right side
    231,175.50x = 131,577,405,696
  5. Step 5: Solve for x
    x = 131,577,405,696/231,175.50
  6. Step 6: Final answer
    x = 569,166.74

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.