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Finding the Third Proportional to 238,150.50 and 513,693.75

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Solution

The third proportional to 238,150.50 and 513,693.75 is: 1,108,044.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,150.50 : 513,693.75 = 513,693.75 : x
  2. Step 2: Convert to fraction form
    238,150.50/513,693.75 = 513,693.75/x
  3. Step 3: Cross multiply
    238,150.50x = 513,693.75 × 513,693.75
  4. Step 4: Simplify right side
    238,150.50x = 263,881,268,789.06
  5. Step 5: Solve for x
    x = 263,881,268,789.06/238,150.50
  6. Step 6: Final answer
    x = 1,108,044.15

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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.