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Finding the Third Proportional to 181,285 and 254,835

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Solution

The third proportional to 181,285 and 254,835 is: 358,225.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,285 : 254,835 = 254,835 : x
  2. Step 2: Convert to fraction form
    181,285/254,835 = 254,835/x
  3. Step 3: Cross multiply
    181,285x = 254,835 × 254,835
  4. Step 4: Simplify right side
    181,285x = 64,940,877,225
  5. Step 5: Solve for x
    x = 64,940,877,225/181,285
  6. Step 6: Final answer
    x = 358,225.32

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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.