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Finding the Third Proportional to 245,682 and 370,255.50

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Solution

The third proportional to 245,682 and 370,255.50 is: 557,994.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    245,682 : 370,255.50 = 370,255.50 : x
  2. Step 2: Convert to fraction form
    245,682/370,255.50 = 370,255.50/x
  3. Step 3: Cross multiply
    245,682x = 370,255.50 × 370,255.50
  4. Step 4: Simplify right side
    245,682x = 137,089,135,280.25
  5. Step 5: Solve for x
    x = 137,089,135,280.25/245,682
  6. Step 6: Final answer
    x = 557,994.22

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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.