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Finding the Third Proportional to 110,968.50 and 239,673.75

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Solution

The third proportional to 110,968.50 and 239,673.75 is: 517,655.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,968.50 : 239,673.75 = 239,673.75 : x
  2. Step 2: Convert to fraction form
    110,968.50/239,673.75 = 239,673.75/x
  3. Step 3: Cross multiply
    110,968.50x = 239,673.75 × 239,673.75
  4. Step 4: Simplify right side
    110,968.50x = 57,443,506,439.06
  5. Step 5: Solve for x
    x = 57,443,506,439.06/110,968.50
  6. Step 6: Final answer
    x = 517,655.97

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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.