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Finding the Third Proportional to 158,080.50 and 241,059.75

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Solution

The third proportional to 158,080.50 and 241,059.75 is: 367,596.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,080.50 : 241,059.75 = 241,059.75 : x
  2. Step 2: Convert to fraction form
    158,080.50/241,059.75 = 241,059.75/x
  3. Step 3: Cross multiply
    158,080.50x = 241,059.75 × 241,059.75
  4. Step 4: Simplify right side
    158,080.50x = 58,109,803,070.06
  5. Step 5: Solve for x
    x = 58,109,803,070.06/158,080.50
  6. Step 6: Final answer
    x = 367,596.28

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.