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Finding the Third Proportional to 173,670 and 262,348.50

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Solution

The third proportional to 173,670 and 262,348.50 is: 396,307.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,670 : 262,348.50 = 262,348.50 : x
  2. Step 2: Convert to fraction form
    173,670/262,348.50 = 262,348.50/x
  3. Step 3: Cross multiply
    173,670x = 262,348.50 × 262,348.50
  4. Step 4: Simplify right side
    173,670x = 68,826,735,452.25
  5. Step 5: Solve for x
    x = 68,826,735,452.25/173,670
  6. Step 6: Final answer
    x = 396,307.57

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.