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Finding the Third Proportional to 174,670.50 and 377,232

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Solution

The third proportional to 174,670.50 and 377,232 is: 814,699.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,670.50 : 377,232 = 377,232 : x
  2. Step 2: Convert to fraction form
    174,670.50/377,232 = 377,232/x
  3. Step 3: Cross multiply
    174,670.50x = 377,232 × 377,232
  4. Step 4: Simplify right side
    174,670.50x = 142,303,981,824
  5. Step 5: Solve for x
    x = 142,303,981,824/174,670.50
  6. Step 6: Final answer
    x = 814,699.57

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.