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Finding the Third Proportional to 132,977 and 284,633

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Solution

The third proportional to 132,977 and 284,633 is: 609,247.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,977 : 284,633 = 284,633 : x
  2. Step 2: Convert to fraction form
    132,977/284,633 = 284,633/x
  3. Step 3: Cross multiply
    132,977x = 284,633 × 284,633
  4. Step 4: Simplify right side
    132,977x = 81,015,944,689
  5. Step 5: Solve for x
    x = 81,015,944,689/132,977
  6. Step 6: Final answer
    x = 609,247.80

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.