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Finding the Third Proportional to 163,076.63 and 259,437.94

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Solution

The third proportional to 163,076.63 and 259,437.94 is: 412,738.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,076.63 : 259,437.94 = 259,437.94 : x
  2. Step 2: Convert to fraction form
    163,076.63/259,437.94 = 259,437.94/x
  3. Step 3: Cross multiply
    163,076.63x = 259,437.94 × 259,437.94
  4. Step 4: Simplify right side
    163,076.63x = 67,308,043,414.25
  5. Step 5: Solve for x
    x = 67,308,043,414.25/163,076.63
  6. Step 6: Final answer
    x = 412,738.76

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.