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Finding the Third Proportional to 173,898 and 366,474.50

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Solution

The third proportional to 173,898 and 366,474.50 is: 772,312.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,898 : 366,474.50 = 366,474.50 : x
  2. Step 2: Convert to fraction form
    173,898/366,474.50 = 366,474.50/x
  3. Step 3: Cross multiply
    173,898x = 366,474.50 × 366,474.50
  4. Step 4: Simplify right side
    173,898x = 134,303,559,150.25
  5. Step 5: Solve for x
    x = 134,303,559,150.25/173,898
  6. Step 6: Final answer
    x = 772,312.27

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.