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Finding the Third Proportional to 174,232 and 377,968

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Solution

The third proportional to 174,232 and 377,968 is: 819,940.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,232 : 377,968 = 377,968 : x
  2. Step 2: Convert to fraction form
    174,232/377,968 = 377,968/x
  3. Step 3: Cross multiply
    174,232x = 377,968 × 377,968
  4. Step 4: Simplify right side
    174,232x = 142,859,809,024
  5. Step 5: Solve for x
    x = 142,859,809,024/174,232
  6. Step 6: Final answer
    x = 819,940.13

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.