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Finding the Third Proportional to 153,906.75 and 245,873.25

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Solution

The third proportional to 153,906.75 and 245,873.25 is: 392,794.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,906.75 : 245,873.25 = 245,873.25 : x
  2. Step 2: Convert to fraction form
    153,906.75/245,873.25 = 245,873.25/x
  3. Step 3: Cross multiply
    153,906.75x = 245,873.25 × 245,873.25
  4. Step 4: Simplify right side
    153,906.75x = 60,453,655,065.56
  5. Step 5: Solve for x
    x = 60,453,655,065.56/153,906.75
  6. Step 6: Final answer
    x = 392,794.05

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.