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Finding the Third Proportional to 160,711 and 237,786

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Solution

The third proportional to 160,711 and 237,786 is: 351,825.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,711 : 237,786 = 237,786 : x
  2. Step 2: Convert to fraction form
    160,711/237,786 = 237,786/x
  3. Step 3: Cross multiply
    160,711x = 237,786 × 237,786
  4. Step 4: Simplify right side
    160,711x = 56,542,181,796
  5. Step 5: Solve for x
    x = 56,542,181,796/160,711
  6. Step 6: Final answer
    x = 351,825.21

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.