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Finding the Third Proportional to 181,364 and 254,944

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Solution

The third proportional to 181,364 and 254,944 is: 358,375.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,364 : 254,944 = 254,944 : x
  2. Step 2: Convert to fraction form
    181,364/254,944 = 254,944/x
  3. Step 3: Cross multiply
    181,364x = 254,944 × 254,944
  4. Step 4: Simplify right side
    181,364x = 64,996,443,136
  5. Step 5: Solve for x
    x = 64,996,443,136/181,364
  6. Step 6: Final answer
    x = 358,375.66

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.