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Finding the Third Proportional to 160,139 and 370,682

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Solution

The third proportional to 160,139 and 370,682 is: 858,036.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,139 : 370,682 = 370,682 : x
  2. Step 2: Convert to fraction form
    160,139/370,682 = 370,682/x
  3. Step 3: Cross multiply
    160,139x = 370,682 × 370,682
  4. Step 4: Simplify right side
    160,139x = 137,405,145,124
  5. Step 5: Solve for x
    x = 137,405,145,124/160,139
  6. Step 6: Final answer
    x = 858,036.74

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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.