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Finding the Third Proportional to 130,228 and 264,078

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Solution

The third proportional to 130,228 and 264,078 is: 535,500.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,228 : 264,078 = 264,078 : x
  2. Step 2: Convert to fraction form
    130,228/264,078 = 264,078/x
  3. Step 3: Cross multiply
    130,228x = 264,078 × 264,078
  4. Step 4: Simplify right side
    130,228x = 69,737,190,084
  5. Step 5: Solve for x
    x = 69,737,190,084/130,228
  6. Step 6: Final answer
    x = 535,500.74

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.