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Finding the Third Proportional to 216,157.50 and 472,449.75

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Solution

The third proportional to 216,157.50 and 472,449.75 is: 1,032,620.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,157.50 : 472,449.75 = 472,449.75 : x
  2. Step 2: Convert to fraction form
    216,157.50/472,449.75 = 472,449.75/x
  3. Step 3: Cross multiply
    216,157.50x = 472,449.75 × 472,449.75
  4. Step 4: Simplify right side
    216,157.50x = 223,208,766,275.06
  5. Step 5: Solve for x
    x = 223,208,766,275.06/216,157.50
  6. Step 6: Final answer
    x = 1,032,620.97

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.