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Finding the Third Proportional to 108,534.94 and 235,178.44

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Solution

The third proportional to 108,534.94 and 235,178.44 is: 509,595.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,534.94 : 235,178.44 = 235,178.44 : x
  2. Step 2: Convert to fraction form
    108,534.94/235,178.44 = 235,178.44/x
  3. Step 3: Cross multiply
    108,534.94x = 235,178.44 × 235,178.44
  4. Step 4: Simplify right side
    108,534.94x = 55,308,897,464.94
  5. Step 5: Solve for x
    x = 55,308,897,464.94/108,534.94
  6. Step 6: Final answer
    x = 509,595.33

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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.