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Finding the Third Proportional to 238,750.50 and 516,866.50

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Solution

The third proportional to 238,750.50 and 516,866.50 is: 1,118,954.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,750.50 : 516,866.50 = 516,866.50 : x
  2. Step 2: Convert to fraction form
    238,750.50/516,866.50 = 516,866.50/x
  3. Step 3: Cross multiply
    238,750.50x = 516,866.50 × 516,866.50
  4. Step 4: Simplify right side
    238,750.50x = 267,150,978,822.25
  5. Step 5: Solve for x
    x = 267,150,978,822.25/238,750.50
  6. Step 6: Final answer
    x = 1,118,954.64

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Why These Related Problems?

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