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Finding the Third Proportional to 163,913 and 356,669

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Solution

The third proportional to 163,913 and 356,669 is: 776,099.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,913 : 356,669 = 356,669 : x
  2. Step 2: Convert to fraction form
    163,913/356,669 = 356,669/x
  3. Step 3: Cross multiply
    163,913x = 356,669 × 356,669
  4. Step 4: Simplify right side
    163,913x = 127,212,775,561
  5. Step 5: Solve for x
    x = 127,212,775,561/163,913
  6. Step 6: Final answer
    x = 776,099.37

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.