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Finding the Third Proportional to 181,242 and 375,228

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Solution

The third proportional to 181,242 and 375,228 is: 776,840.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,242 : 375,228 = 375,228 : x
  2. Step 2: Convert to fraction form
    181,242/375,228 = 375,228/x
  3. Step 3: Cross multiply
    181,242x = 375,228 × 375,228
  4. Step 4: Simplify right side
    181,242x = 140,796,051,984
  5. Step 5: Solve for x
    x = 140,796,051,984/181,242
  6. Step 6: Final answer
    x = 776,840.09

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.