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Finding the Third Proportional to 160,097 and 373,998

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Solution

The third proportional to 160,097 and 373,998 is: 873,685.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,097 : 373,998 = 373,998 : x
  2. Step 2: Convert to fraction form
    160,097/373,998 = 373,998/x
  3. Step 3: Cross multiply
    160,097x = 373,998 × 373,998
  4. Step 4: Simplify right side
    160,097x = 139,874,504,004
  5. Step 5: Solve for x
    x = 139,874,504,004/160,097
  6. Step 6: Final answer
    x = 873,685.98

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.