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Finding the Third Proportional to 237,964.50 and 515,133

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Solution

The third proportional to 237,964.50 and 515,133 is: 1,115,132.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,964.50 : 515,133 = 515,133 : x
  2. Step 2: Convert to fraction form
    237,964.50/515,133 = 515,133/x
  3. Step 3: Cross multiply
    237,964.50x = 515,133 × 515,133
  4. Step 4: Simplify right side
    237,964.50x = 265,362,007,689
  5. Step 5: Solve for x
    x = 265,362,007,689/237,964.50
  6. Step 6: Final answer
    x = 1,115,132.75

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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.