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Finding the Third Proportional to 181,951.50 and 260,538

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Solution

The third proportional to 181,951.50 and 260,538 is: 373,066.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,951.50 : 260,538 = 260,538 : x
  2. Step 2: Convert to fraction form
    181,951.50/260,538 = 260,538/x
  3. Step 3: Cross multiply
    181,951.50x = 260,538 × 260,538
  4. Step 4: Simplify right side
    181,951.50x = 67,880,049,444
  5. Step 5: Solve for x
    x = 67,880,049,444/181,951.50
  6. Step 6: Final answer
    x = 373,066.72

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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.