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Finding the Third Proportional to 160,164 and 370,740

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Solution

The third proportional to 160,164 and 370,740 is: 858,171.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,164 : 370,740 = 370,740 : x
  2. Step 2: Convert to fraction form
    160,164/370,740 = 370,740/x
  3. Step 3: Cross multiply
    160,164x = 370,740 × 370,740
  4. Step 4: Simplify right side
    160,164x = 137,448,147,600
  5. Step 5: Solve for x
    x = 137,448,147,600/160,164
  6. Step 6: Final answer
    x = 858,171.30

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.