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Finding the Third Proportional to 130,818 and 305,904

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Solution

The third proportional to 130,818 and 305,904 is: 715,324.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,818 : 305,904 = 305,904 : x
  2. Step 2: Convert to fraction form
    130,818/305,904 = 305,904/x
  3. Step 3: Cross multiply
    130,818x = 305,904 × 305,904
  4. Step 4: Simplify right side
    130,818x = 93,577,257,216
  5. Step 5: Solve for x
    x = 93,577,257,216/130,818
  6. Step 6: Final answer
    x = 715,324.02

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.