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Finding the Third Proportional to 169,604 and 263,742

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Solution

The third proportional to 169,604 and 263,742 is: 410,130.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,604 : 263,742 = 263,742 : x
  2. Step 2: Convert to fraction form
    169,604/263,742 = 263,742/x
  3. Step 3: Cross multiply
    169,604x = 263,742 × 263,742
  4. Step 4: Simplify right side
    169,604x = 69,559,842,564
  5. Step 5: Solve for x
    x = 69,559,842,564/169,604
  6. Step 6: Final answer
    x = 410,130.91

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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.