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Finding the Third Proportional to 153,054.75 and 230,169.75

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Solution

The third proportional to 153,054.75 and 230,169.75 is: 346,138.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,054.75 : 230,169.75 = 230,169.75 : x
  2. Step 2: Convert to fraction form
    153,054.75/230,169.75 = 230,169.75/x
  3. Step 3: Cross multiply
    153,054.75x = 230,169.75 × 230,169.75
  4. Step 4: Simplify right side
    153,054.75x = 52,978,113,815.06
  5. Step 5: Solve for x
    x = 52,978,113,815.06/153,054.75
  6. Step 6: Final answer
    x = 346,138.32

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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.