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Finding the Third Proportional to 181,164 and 260,946

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Solution

The third proportional to 181,164 and 260,946 is: 375,862.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,164 : 260,946 = 260,946 : x
  2. Step 2: Convert to fraction form
    181,164/260,946 = 260,946/x
  3. Step 3: Cross multiply
    181,164x = 260,946 × 260,946
  4. Step 4: Simplify right side
    181,164x = 68,092,814,916
  5. Step 5: Solve for x
    x = 68,092,814,916/181,164
  6. Step 6: Final answer
    x = 375,862.84

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.