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Finding the Third Proportional to 163,928 and 359,968

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Solution

The third proportional to 163,928 and 359,968 is: 790,450.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,928 : 359,968 = 359,968 : x
  2. Step 2: Convert to fraction form
    163,928/359,968 = 359,968/x
  3. Step 3: Cross multiply
    163,928x = 359,968 × 359,968
  4. Step 4: Simplify right side
    163,928x = 129,576,961,024
  5. Step 5: Solve for x
    x = 129,576,961,024/163,928
  6. Step 6: Final answer
    x = 790,450.45

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.