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Finding the Third Proportional to 145,928 and 209,676

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Solution

The third proportional to 145,928 and 209,676 is: 301,272.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,928 : 209,676 = 209,676 : x
  2. Step 2: Convert to fraction form
    145,928/209,676 = 209,676/x
  3. Step 3: Cross multiply
    145,928x = 209,676 × 209,676
  4. Step 4: Simplify right side
    145,928x = 43,964,024,976
  5. Step 5: Solve for x
    x = 43,964,024,976/145,928
  6. Step 6: Final answer
    x = 301,272.03

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.