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Finding the Third Proportional to 181,950 and 260,539.50

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Solution

The third proportional to 181,950 and 260,539.50 is: 373,074.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,950 : 260,539.50 = 260,539.50 : x
  2. Step 2: Convert to fraction form
    181,950/260,539.50 = 260,539.50/x
  3. Step 3: Cross multiply
    181,950x = 260,539.50 × 260,539.50
  4. Step 4: Simplify right side
    181,950x = 67,880,831,060.25
  5. Step 5: Solve for x
    x = 67,880,831,060.25/181,950
  6. Step 6: Final answer
    x = 373,074.09

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.