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Finding the Third Proportional to 211,830.75 and 322,708.50

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Solution

The third proportional to 211,830.75 and 322,708.50 is: 491,622.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,830.75 : 322,708.50 = 322,708.50 : x
  2. Step 2: Convert to fraction form
    211,830.75/322,708.50 = 322,708.50/x
  3. Step 3: Cross multiply
    211,830.75x = 322,708.50 × 322,708.50
  4. Step 4: Simplify right side
    211,830.75x = 104,140,775,972.25
  5. Step 5: Solve for x
    x = 104,140,775,972.25/211,830.75
  6. Step 6: Final answer
    x = 491,622.56

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.