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Finding the Third Proportional to 160,977 and 236,526

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Solution

The third proportional to 160,977 and 236,526 is: 347,531.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,977 : 236,526 = 236,526 : x
  2. Step 2: Convert to fraction form
    160,977/236,526 = 236,526/x
  3. Step 3: Cross multiply
    160,977x = 236,526 × 236,526
  4. Step 4: Simplify right side
    160,977x = 55,944,548,676
  5. Step 5: Solve for x
    x = 55,944,548,676/160,977
  6. Step 6: Final answer
    x = 347,531.32

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.