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Finding the Third Proportional to 216,623.25 and 483,052.50

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Solution

The third proportional to 216,623.25 and 483,052.50 is: 1,077,168.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,623.25 : 483,052.50 = 483,052.50 : x
  2. Step 2: Convert to fraction form
    216,623.25/483,052.50 = 483,052.50/x
  3. Step 3: Cross multiply
    216,623.25x = 483,052.50 × 483,052.50
  4. Step 4: Simplify right side
    216,623.25x = 233,339,717,756.25
  5. Step 5: Solve for x
    x = 233,339,717,756.25/216,623.25
  6. Step 6: Final answer
    x = 1,077,168.39

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.