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Finding the Third Proportional to 108,485 and 235,630

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Solution

The third proportional to 108,485 and 235,630 is: 511,789.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,485 : 235,630 = 235,630 : x
  2. Step 2: Convert to fraction form
    108,485/235,630 = 235,630/x
  3. Step 3: Cross multiply
    108,485x = 235,630 × 235,630
  4. Step 4: Simplify right side
    108,485x = 55,521,496,900
  5. Step 5: Solve for x
    x = 55,521,496,900/108,485
  6. Step 6: Final answer
    x = 511,789.62

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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.