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Finding the Third Proportional to 160,608 and 235,152

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Solution

The third proportional to 160,608 and 235,152 is: 344,294.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,608 : 235,152 = 235,152 : x
  2. Step 2: Convert to fraction form
    160,608/235,152 = 235,152/x
  3. Step 3: Cross multiply
    160,608x = 235,152 × 235,152
  4. Step 4: Simplify right side
    160,608x = 55,296,463,104
  5. Step 5: Solve for x
    x = 55,296,463,104/160,608
  6. Step 6: Final answer
    x = 344,294.58

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.