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Finding the Third Proportional to 157,052.25 and 343,437.75

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Solution

The third proportional to 157,052.25 and 343,437.75 is: 751,020.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,052.25 : 343,437.75 = 343,437.75 : x
  2. Step 2: Convert to fraction form
    157,052.25/343,437.75 = 343,437.75/x
  3. Step 3: Cross multiply
    157,052.25x = 343,437.75 × 343,437.75
  4. Step 4: Simplify right side
    157,052.25x = 117,949,488,125.06
  5. Step 5: Solve for x
    x = 117,949,488,125.06/157,052.25
  6. Step 6: Final answer
    x = 751,020.68

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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.