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Finding the Third Proportional to 70,977 and 155,778

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Solution

The third proportional to 70,977 and 155,778 is: 341,896.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,977 : 155,778 = 155,778 : x
  2. Step 2: Convert to fraction form
    70,977/155,778 = 155,778/x
  3. Step 3: Cross multiply
    70,977x = 155,778 × 155,778
  4. Step 4: Simplify right side
    70,977x = 24,266,785,284
  5. Step 5: Solve for x
    x = 24,266,785,284/70,977
  6. Step 6: Final answer
    x = 341,896.46

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.