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Finding the Third Proportional to 150,810.75 and 210,940.31

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Solution

The third proportional to 150,810.75 and 210,940.31 is: 295,044.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,810.75 : 210,940.31 = 210,940.31 : x
  2. Step 2: Convert to fraction form
    150,810.75/210,940.31 = 210,940.31/x
  3. Step 3: Cross multiply
    150,810.75x = 210,940.31 × 210,940.31
  4. Step 4: Simplify right side
    150,810.75x = 44,495,815,437.60
  5. Step 5: Solve for x
    x = 44,495,815,437.60/150,810.75
  6. Step 6: Final answer
    x = 295,044.06

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.