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Finding the Third Proportional to 150,855.75 and 223,673.06

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Solution

The third proportional to 150,855.75 and 223,673.06 is: 331,638.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,855.75 : 223,673.06 = 223,673.06 : x
  2. Step 2: Convert to fraction form
    150,855.75/223,673.06 = 223,673.06/x
  3. Step 3: Cross multiply
    150,855.75x = 223,673.06 × 223,673.06
  4. Step 4: Simplify right side
    150,855.75x = 50,029,638,888.13
  5. Step 5: Solve for x
    x = 50,029,638,888.13/150,855.75
  6. Step 6: Final answer
    x = 331,638.93

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.