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Finding the Third Proportional to 108,770 and 235,682

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Solution

The third proportional to 108,770 and 235,682 is: 510,673.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,770 : 235,682 = 235,682 : x
  2. Step 2: Convert to fraction form
    108,770/235,682 = 235,682/x
  3. Step 3: Cross multiply
    108,770x = 235,682 × 235,682
  4. Step 4: Simplify right side
    108,770x = 55,546,005,124
  5. Step 5: Solve for x
    x = 55,546,005,124/108,770
  6. Step 6: Final answer
    x = 510,673.95

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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.