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Finding the Third Proportional to 108,600 and 235,896

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Solution

The third proportional to 108,600 and 235,896 is: 512,402.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,600 : 235,896 = 235,896 : x
  2. Step 2: Convert to fraction form
    108,600/235,896 = 235,896/x
  3. Step 3: Cross multiply
    108,600x = 235,896 × 235,896
  4. Step 4: Simplify right side
    108,600x = 55,646,922,816
  5. Step 5: Solve for x
    x = 55,646,922,816/108,600
  6. Step 6: Final answer
    x = 512,402.60

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.