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Finding the Third Proportional to 130,268 and 270,904

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Solution

The third proportional to 130,268 and 270,904 is: 563,369.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,268 : 270,904 = 270,904 : x
  2. Step 2: Convert to fraction form
    130,268/270,904 = 270,904/x
  3. Step 3: Cross multiply
    130,268x = 270,904 × 270,904
  4. Step 4: Simplify right side
    130,268x = 73,388,977,216
  5. Step 5: Solve for x
    x = 73,388,977,216/130,268
  6. Step 6: Final answer
    x = 563,369.19

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.