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Finding the Third Proportional to 130,512 and 250,652

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Solution

The third proportional to 130,512 and 250,652 is: 481,384.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,512 : 250,652 = 250,652 : x
  2. Step 2: Convert to fraction form
    130,512/250,652 = 250,652/x
  3. Step 3: Cross multiply
    130,512x = 250,652 × 250,652
  4. Step 4: Simplify right side
    130,512x = 62,826,425,104
  5. Step 5: Solve for x
    x = 62,826,425,104/130,512
  6. Step 6: Final answer
    x = 481,384.28

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Why These Related Problems?

These problems maintain the same ratio (1.92) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.