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Finding the Third Proportional to 157,550.50 and 345,714.50

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Solution

The third proportional to 157,550.50 and 345,714.50 is: 758,604.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,550.50 : 345,714.50 = 345,714.50 : x
  2. Step 2: Convert to fraction form
    157,550.50/345,714.50 = 345,714.50/x
  3. Step 3: Cross multiply
    157,550.50x = 345,714.50 × 345,714.50
  4. Step 4: Simplify right side
    157,550.50x = 119,518,515,510.25
  5. Step 5: Solve for x
    x = 119,518,515,510.25/157,550.50
  6. Step 6: Final answer
    x = 758,604.48

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