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Finding the Third Proportional to 153,258.75 and 230,100.75

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Solution

The third proportional to 153,258.75 and 230,100.75 is: 345,470.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,258.75 : 230,100.75 = 230,100.75 : x
  2. Step 2: Convert to fraction form
    153,258.75/230,100.75 = 230,100.75/x
  3. Step 3: Cross multiply
    153,258.75x = 230,100.75 × 230,100.75
  4. Step 4: Simplify right side
    153,258.75x = 52,946,355,150.56
  5. Step 5: Solve for x
    x = 52,946,355,150.56/153,258.75
  6. Step 6: Final answer
    x = 345,470.36

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.