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Finding the Third Proportional to 130,034 and 278,500

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Solution

The third proportional to 130,034 and 278,500 is: 596,476.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,034 : 278,500 = 278,500 : x
  2. Step 2: Convert to fraction form
    130,034/278,500 = 278,500/x
  3. Step 3: Cross multiply
    130,034x = 278,500 × 278,500
  4. Step 4: Simplify right side
    130,034x = 77,562,250,000
  5. Step 5: Solve for x
    x = 77,562,250,000/130,034
  6. Step 6: Final answer
    x = 596,476.69

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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.