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Finding the Third Proportional to 122,604.75 and 262,705.50

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Solution

The third proportional to 122,604.75 and 262,705.50 is: 562,899.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,604.75 : 262,705.50 = 262,705.50 : x
  2. Step 2: Convert to fraction form
    122,604.75/262,705.50 = 262,705.50/x
  3. Step 3: Cross multiply
    122,604.75x = 262,705.50 × 262,705.50
  4. Step 4: Simplify right side
    122,604.75x = 69,014,179,730.25
  5. Step 5: Solve for x
    x = 69,014,179,730.25/122,604.75
  6. Step 6: Final answer
    x = 562,899.72

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.