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Finding the Third Proportional to 169,323 and 361,973

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Solution

The third proportional to 169,323 and 361,973 is: 773,813.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,323 : 361,973 = 361,973 : x
  2. Step 2: Convert to fraction form
    169,323/361,973 = 361,973/x
  3. Step 3: Cross multiply
    169,323x = 361,973 × 361,973
  4. Step 4: Simplify right side
    169,323x = 131,024,452,729
  5. Step 5: Solve for x
    x = 131,024,452,729/169,323
  6. Step 6: Final answer
    x = 773,813.67

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.