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Finding the Third Proportional to 130,040 and 278,512

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Solution

The third proportional to 130,040 and 278,512 is: 596,500.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,040 : 278,512 = 278,512 : x
  2. Step 2: Convert to fraction form
    130,040/278,512 = 278,512/x
  3. Step 3: Cross multiply
    130,040x = 278,512 × 278,512
  4. Step 4: Simplify right side
    130,040x = 77,568,934,144
  5. Step 5: Solve for x
    x = 77,568,934,144/130,040
  6. Step 6: Final answer
    x = 596,500.57

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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.