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Finding the Third Proportional to 108,992 and 235,195

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Solution

The third proportional to 108,992 and 235,195 is: 507,529.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,992 : 235,195 = 235,195 : x
  2. Step 2: Convert to fraction form
    108,992/235,195 = 235,195/x
  3. Step 3: Cross multiply
    108,992x = 235,195 × 235,195
  4. Step 4: Simplify right side
    108,992x = 55,316,688,025
  5. Step 5: Solve for x
    x = 55,316,688,025/108,992
  6. Step 6: Final answer
    x = 507,529.80

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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.