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Finding the Third Proportional to 163,851 and 352,890

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Solution

The third proportional to 163,851 and 352,890 is: 760,028.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,851 : 352,890 = 352,890 : x
  2. Step 2: Convert to fraction form
    163,851/352,890 = 352,890/x
  3. Step 3: Cross multiply
    163,851x = 352,890 × 352,890
  4. Step 4: Simplify right side
    163,851x = 124,531,352,100
  5. Step 5: Solve for x
    x = 124,531,352,100/163,851
  6. Step 6: Final answer
    x = 760,028.03

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.