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Finding the Third Proportional to 169,607 and 263,748

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Solution

The third proportional to 169,607 and 263,748 is: 410,142.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,607 : 263,748 = 263,748 : x
  2. Step 2: Convert to fraction form
    169,607/263,748 = 263,748/x
  3. Step 3: Cross multiply
    169,607x = 263,748 × 263,748
  4. Step 4: Simplify right side
    169,607x = 69,563,007,504
  5. Step 5: Solve for x
    x = 69,563,007,504/169,607
  6. Step 6: Final answer
    x = 410,142.31

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.