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Finding the Third Proportional to 160,141 and 370,686

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Solution

The third proportional to 160,141 and 370,686 is: 858,044.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,141 : 370,686 = 370,686 : x
  2. Step 2: Convert to fraction form
    160,141/370,686 = 370,686/x
  3. Step 3: Cross multiply
    160,141x = 370,686 × 370,686
  4. Step 4: Simplify right side
    160,141x = 137,408,110,596
  5. Step 5: Solve for x
    x = 137,408,110,596/160,141
  6. Step 6: Final answer
    x = 858,044.54

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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.