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Finding the Third Proportional to 163,811 and 357,930

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Solution

The third proportional to 163,811 and 357,930 is: 782,083.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,811 : 357,930 = 357,930 : x
  2. Step 2: Convert to fraction form
    163,811/357,930 = 357,930/x
  3. Step 3: Cross multiply
    163,811x = 357,930 × 357,930
  4. Step 4: Simplify right side
    163,811x = 128,113,884,900
  5. Step 5: Solve for x
    x = 128,113,884,900/163,811
  6. Step 6: Final answer
    x = 782,083.53

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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.