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Finding the Third Proportional to 130,203.56 and 276,404.63

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Solution

The third proportional to 130,203.56 and 276,404.63 is: 586,769.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,203.56 : 276,404.63 = 276,404.63 : x
  2. Step 2: Convert to fraction form
    130,203.56/276,404.63 = 276,404.63/x
  3. Step 3: Cross multiply
    130,203.56x = 276,404.63 × 276,404.63
  4. Step 4: Simplify right side
    130,203.56x = 76,399,516,721.39
  5. Step 5: Solve for x
    x = 76,399,516,721.39/130,203.56
  6. Step 6: Final answer
    x = 586,769.79

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.