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Finding the Third Proportional to 154,203 and 241,954.50

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Solution

The third proportional to 154,203 and 241,954.50 is: 379,642.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,203 : 241,954.50 = 241,954.50 : x
  2. Step 2: Convert to fraction form
    154,203/241,954.50 = 241,954.50/x
  3. Step 3: Cross multiply
    154,203x = 241,954.50 × 241,954.50
  4. Step 4: Simplify right side
    154,203x = 58,541,980,070.25
  5. Step 5: Solve for x
    x = 58,541,980,070.25/154,203
  6. Step 6: Final answer
    x = 379,642.29

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.