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Finding the Third Proportional to 160,142 and 370,689

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Solution

The third proportional to 160,142 and 370,689 is: 858,053.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,142 : 370,689 = 370,689 : x
  2. Step 2: Convert to fraction form
    160,142/370,689 = 370,689/x
  3. Step 3: Cross multiply
    160,142x = 370,689 × 370,689
  4. Step 4: Simplify right side
    160,142x = 137,410,334,721
  5. Step 5: Solve for x
    x = 137,410,334,721/160,142
  6. Step 6: Final answer
    x = 858,053.07

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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.