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Finding the Third Proportional to 154,485 and 232,519.50

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Solution

The third proportional to 154,485 and 232,519.50 is: 349,971.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,485 : 232,519.50 = 232,519.50 : x
  2. Step 2: Convert to fraction form
    154,485/232,519.50 = 232,519.50/x
  3. Step 3: Cross multiply
    154,485x = 232,519.50 × 232,519.50
  4. Step 4: Simplify right side
    154,485x = 54,065,317,880.25
  5. Step 5: Solve for x
    x = 54,065,317,880.25/154,485
  6. Step 6: Final answer
    x = 349,971.31

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.