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Finding the Third Proportional to 176,141 and 251,809

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Solution

The third proportional to 176,141 and 251,809 is: 359,983.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,141 : 251,809 = 251,809 : x
  2. Step 2: Convert to fraction form
    176,141/251,809 = 251,809/x
  3. Step 3: Cross multiply
    176,141x = 251,809 × 251,809
  4. Step 4: Simplify right side
    176,141x = 63,407,772,481
  5. Step 5: Solve for x
    x = 63,407,772,481/176,141
  6. Step 6: Final answer
    x = 359,983.04

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.