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Finding the Third Proportional to 173,722 and 275,303

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Solution

The third proportional to 173,722 and 275,303 is: 436,281.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,722 : 275,303 = 275,303 : x
  2. Step 2: Convert to fraction form
    173,722/275,303 = 275,303/x
  3. Step 3: Cross multiply
    173,722x = 275,303 × 275,303
  4. Step 4: Simplify right side
    173,722x = 75,791,741,809
  5. Step 5: Solve for x
    x = 75,791,741,809/173,722
  6. Step 6: Final answer
    x = 436,281.77

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.