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Finding the Third Proportional to 238,153.50 and 513,696.75

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Solution

The third proportional to 238,153.50 and 513,696.75 is: 1,108,043.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,153.50 : 513,696.75 = 513,696.75 : x
  2. Step 2: Convert to fraction form
    238,153.50/513,696.75 = 513,696.75/x
  3. Step 3: Cross multiply
    238,153.50x = 513,696.75 × 513,696.75
  4. Step 4: Simplify right side
    238,153.50x = 263,884,350,960.56
  5. Step 5: Solve for x
    x = 263,884,350,960.56/238,153.50
  6. Step 6: Final answer
    x = 1,108,043.14

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.