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Finding the Third Proportional to 163,593 and 239,996.25

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Solution

The third proportional to 163,593 and 239,996.25 is: 352,082.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,593 : 239,996.25 = 239,996.25 : x
  2. Step 2: Convert to fraction form
    163,593/239,996.25 = 239,996.25/x
  3. Step 3: Cross multiply
    163,593x = 239,996.25 × 239,996.25
  4. Step 4: Simplify right side
    163,593x = 57,598,200,014.06
  5. Step 5: Solve for x
    x = 57,598,200,014.06/163,593
  6. Step 6: Final answer
    x = 352,082.30

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.