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Finding the Third Proportional to 216,283.54 and 465,847.02

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Solution

The third proportional to 216,283.54 and 465,847.02 is: 1,003,374.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,283.54 : 465,847.02 = 465,847.02 : x
  2. Step 2: Convert to fraction form
    216,283.54/465,847.02 = 465,847.02/x
  3. Step 3: Cross multiply
    216,283.54x = 465,847.02 × 465,847.02
  4. Step 4: Simplify right side
    216,283.54x = 217,013,444,241.35
  5. Step 5: Solve for x
    x = 217,013,444,241.35/216,283.54
  6. Step 6: Final answer
    x = 1,003,374.75

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.