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Finding the Third Proportional to 160,995 and 353,094

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Solution

The third proportional to 160,995 and 353,094 is: 774,405.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,995 : 353,094 = 353,094 : x
  2. Step 2: Convert to fraction form
    160,995/353,094 = 353,094/x
  3. Step 3: Cross multiply
    160,995x = 353,094 × 353,094
  4. Step 4: Simplify right side
    160,995x = 124,675,372,836
  5. Step 5: Solve for x
    x = 124,675,372,836/160,995
  6. Step 6: Final answer
    x = 774,405.25

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.