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Finding the Third Proportional to 170,426 and 233,769

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Solution

The third proportional to 170,426 and 233,769 is: 320,654.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,426 : 233,769 = 233,769 : x
  2. Step 2: Convert to fraction form
    170,426/233,769 = 233,769/x
  3. Step 3: Cross multiply
    170,426x = 233,769 × 233,769
  4. Step 4: Simplify right side
    170,426x = 54,647,945,361
  5. Step 5: Solve for x
    x = 54,647,945,361/170,426
  6. Step 6: Final answer
    x = 320,654.98

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.