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Finding the Third Proportional to 176,190.19 and 268,416.28

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Solution

The third proportional to 176,190.19 and 268,416.28 is: 408,917.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,190.19 : 268,416.28 = 268,416.28 : x
  2. Step 2: Convert to fraction form
    176,190.19/268,416.28 = 268,416.28/x
  3. Step 3: Cross multiply
    176,190.19x = 268,416.28 × 268,416.28
  4. Step 4: Simplify right side
    176,190.19x = 72,047,300,040.08
  5. Step 5: Solve for x
    x = 72,047,300,040.08/176,190.19
  6. Step 6: Final answer
    x = 408,917.78

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.