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Finding the Third Proportional to 176,360 and 264,942

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Solution

The third proportional to 176,360 and 264,942 is: 398,016.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,360 : 264,942 = 264,942 : x
  2. Step 2: Convert to fraction form
    176,360/264,942 = 264,942/x
  3. Step 3: Cross multiply
    176,360x = 264,942 × 264,942
  4. Step 4: Simplify right side
    176,360x = 70,194,263,364
  5. Step 5: Solve for x
    x = 70,194,263,364/176,360
  6. Step 6: Final answer
    x = 398,016.92

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.