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Finding the Third Proportional to 177,610 and 250,141

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Solution

The third proportional to 177,610 and 250,141 is: 352,291.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,610 : 250,141 = 250,141 : x
  2. Step 2: Convert to fraction form
    177,610/250,141 = 250,141/x
  3. Step 3: Cross multiply
    177,610x = 250,141 × 250,141
  4. Step 4: Simplify right side
    177,610x = 62,570,519,881
  5. Step 5: Solve for x
    x = 62,570,519,881/177,610
  6. Step 6: Final answer
    x = 352,291.65

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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.