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Finding the Third Proportional to 137,941.50 and 308,175.75

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Solution

The third proportional to 137,941.50 and 308,175.75 is: 688,496.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,941.50 : 308,175.75 = 308,175.75 : x
  2. Step 2: Convert to fraction form
    137,941.50/308,175.75 = 308,175.75/x
  3. Step 3: Cross multiply
    137,941.50x = 308,175.75 × 308,175.75
  4. Step 4: Simplify right side
    137,941.50x = 94,972,292,888.06
  5. Step 5: Solve for x
    x = 94,972,292,888.06/137,941.50
  6. Step 6: Final answer
    x = 688,496.88

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These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.