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Finding the Third Proportional to 177,088 and 414,832

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Solution

The third proportional to 177,088 and 414,832 is: 971,751.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,088 : 414,832 = 414,832 : x
  2. Step 2: Convert to fraction form
    177,088/414,832 = 414,832/x
  3. Step 3: Cross multiply
    177,088x = 414,832 × 414,832
  4. Step 4: Simplify right side
    177,088x = 172,085,588,224
  5. Step 5: Solve for x
    x = 172,085,588,224/177,088
  6. Step 6: Final answer
    x = 971,751.83

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.