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Finding the Third Proportional to 177,276 and 373,144

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Solution

The third proportional to 177,276 and 373,144 is: 785,421.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,276 : 373,144 = 373,144 : x
  2. Step 2: Convert to fraction form
    177,276/373,144 = 373,144/x
  3. Step 3: Cross multiply
    177,276x = 373,144 × 373,144
  4. Step 4: Simplify right side
    177,276x = 139,236,444,736
  5. Step 5: Solve for x
    x = 139,236,444,736/177,276
  6. Step 6: Final answer
    x = 785,421.85

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.