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Finding the Third Proportional to 130,214 and 278,860

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Solution

The third proportional to 130,214 and 278,860 is: 597,193.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,214 : 278,860 = 278,860 : x
  2. Step 2: Convert to fraction form
    130,214/278,860 = 278,860/x
  3. Step 3: Cross multiply
    130,214x = 278,860 × 278,860
  4. Step 4: Simplify right side
    130,214x = 77,762,899,600
  5. Step 5: Solve for x
    x = 77,762,899,600/130,214
  6. Step 6: Final answer
    x = 597,193.08

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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.