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Finding the Third Proportional to 176,391 and 273,861

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Solution

The third proportional to 176,391 and 273,861 is: 425,190.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,391 : 273,861 = 273,861 : x
  2. Step 2: Convert to fraction form
    176,391/273,861 = 273,861/x
  3. Step 3: Cross multiply
    176,391x = 273,861 × 273,861
  4. Step 4: Simplify right side
    176,391x = 74,999,847,321
  5. Step 5: Solve for x
    x = 74,999,847,321/176,391
  6. Step 6: Final answer
    x = 425,190.90

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.