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Finding the Third Proportional to 164,057 and 234,603

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Solution

The third proportional to 164,057 and 234,603 is: 335,484.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,057 : 234,603 = 234,603 : x
  2. Step 2: Convert to fraction form
    164,057/234,603 = 234,603/x
  3. Step 3: Cross multiply
    164,057x = 234,603 × 234,603
  4. Step 4: Simplify right side
    164,057x = 55,038,567,609
  5. Step 5: Solve for x
    x = 55,038,567,609/164,057
  6. Step 6: Final answer
    x = 335,484.42

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.