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Finding the Third Proportional to 172,938 and 372,558

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Solution

The third proportional to 172,938 and 372,558 is: 802,596.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,938 : 372,558 = 372,558 : x
  2. Step 2: Convert to fraction form
    172,938/372,558 = 372,558/x
  3. Step 3: Cross multiply
    172,938x = 372,558 × 372,558
  4. Step 4: Simplify right side
    172,938x = 138,799,463,364
  5. Step 5: Solve for x
    x = 138,799,463,364/172,938
  6. Step 6: Final answer
    x = 802,596.67

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.