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Finding the Third Proportional to 157,647.50 and 345,954

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Solution

The third proportional to 157,647.50 and 345,954 is: 759,188.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,647.50 : 345,954 = 345,954 : x
  2. Step 2: Convert to fraction form
    157,647.50/345,954 = 345,954/x
  3. Step 3: Cross multiply
    157,647.50x = 345,954 × 345,954
  4. Step 4: Simplify right side
    157,647.50x = 119,684,170,116
  5. Step 5: Solve for x
    x = 119,684,170,116/157,647.50
  6. Step 6: Final answer
    x = 759,188.51

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.