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Finding the Third Proportional to 169,011 and 342,688.88

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Solution

The third proportional to 169,011 and 342,688.88 is: 694,840.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,011 : 342,688.88 = 342,688.88 : x
  2. Step 2: Convert to fraction form
    169,011/342,688.88 = 342,688.88/x
  3. Step 3: Cross multiply
    169,011x = 342,688.88 × 342,688.88
  4. Step 4: Simplify right side
    169,011x = 117,435,665,048.77
  5. Step 5: Solve for x
    x = 117,435,665,048.77/169,011
  6. Step 6: Final answer
    x = 694,840.37

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.