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Finding the Third Proportional to 173,732 and 275,318

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Solution

The third proportional to 173,732 and 275,318 is: 436,304.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,732 : 275,318 = 275,318 : x
  2. Step 2: Convert to fraction form
    173,732/275,318 = 275,318/x
  3. Step 3: Cross multiply
    173,732x = 275,318 × 275,318
  4. Step 4: Simplify right side
    173,732x = 75,800,001,124
  5. Step 5: Solve for x
    x = 75,800,001,124/173,732
  6. Step 6: Final answer
    x = 436,304.20

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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.