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Finding the Third Proportional to 130,245 and 202,977

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Solution

The third proportional to 130,245 and 202,977 is: 316,324.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,245 : 202,977 = 202,977 : x
  2. Step 2: Convert to fraction form
    130,245/202,977 = 202,977/x
  3. Step 3: Cross multiply
    130,245x = 202,977 × 202,977
  4. Step 4: Simplify right side
    130,245x = 41,199,662,529
  5. Step 5: Solve for x
    x = 41,199,662,529/130,245
  6. Step 6: Final answer
    x = 316,324.33

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.