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Finding the Third Proportional to 157,861.50 and 241,490.25

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Solution

The third proportional to 157,861.50 and 241,490.25 is: 369,422.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,861.50 : 241,490.25 = 241,490.25 : x
  2. Step 2: Convert to fraction form
    157,861.50/241,490.25 = 241,490.25/x
  3. Step 3: Cross multiply
    157,861.50x = 241,490.25 × 241,490.25
  4. Step 4: Simplify right side
    157,861.50x = 58,317,540,845.06
  5. Step 5: Solve for x
    x = 58,317,540,845.06/157,861.50
  6. Step 6: Final answer
    x = 369,422.19

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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.