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Finding the Third Proportional to 160,716 and 342,242

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Solution

The third proportional to 160,716 and 342,242 is: 728,798.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,716 : 342,242 = 342,242 : x
  2. Step 2: Convert to fraction form
    160,716/342,242 = 342,242/x
  3. Step 3: Cross multiply
    160,716x = 342,242 × 342,242
  4. Step 4: Simplify right side
    160,716x = 117,129,586,564
  5. Step 5: Solve for x
    x = 117,129,586,564/160,716
  6. Step 6: Final answer
    x = 728,798.54

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.