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Finding the Third Proportional to 169,389 and 334,525.50

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Solution

The third proportional to 169,389 and 334,525.50 is: 660,652.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,389 : 334,525.50 = 334,525.50 : x
  2. Step 2: Convert to fraction form
    169,389/334,525.50 = 334,525.50/x
  3. Step 3: Cross multiply
    169,389x = 334,525.50 × 334,525.50
  4. Step 4: Simplify right side
    169,389x = 111,907,310,150.25
  5. Step 5: Solve for x
    x = 111,907,310,150.25/169,389
  6. Step 6: Final answer
    x = 660,652.76

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.