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Finding the Third Proportional to 108,204 and 236,320.50

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Solution

The third proportional to 108,204 and 236,320.50 is: 516,130.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,204 : 236,320.50 = 236,320.50 : x
  2. Step 2: Convert to fraction form
    108,204/236,320.50 = 236,320.50/x
  3. Step 3: Cross multiply
    108,204x = 236,320.50 × 236,320.50
  4. Step 4: Simplify right side
    108,204x = 55,847,378,720.25
  5. Step 5: Solve for x
    x = 55,847,378,720.25/108,204
  6. Step 6: Final answer
    x = 516,130.45

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.