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Finding the Third Proportional to 158,171 and 241,954.50

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Solution

The third proportional to 158,171 and 241,954.50 is: 370,118.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,171 : 241,954.50 = 241,954.50 : x
  2. Step 2: Convert to fraction form
    158,171/241,954.50 = 241,954.50/x
  3. Step 3: Cross multiply
    158,171x = 241,954.50 × 241,954.50
  4. Step 4: Simplify right side
    158,171x = 58,541,980,070.25
  5. Step 5: Solve for x
    x = 58,541,980,070.25/158,171
  6. Step 6: Final answer
    x = 370,118.29

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.