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Finding the Third Proportional to 163,620 and 353,016

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Solution

The third proportional to 163,620 and 353,016 is: 761,644.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,620 : 353,016 = 353,016 : x
  2. Step 2: Convert to fraction form
    163,620/353,016 = 353,016/x
  3. Step 3: Cross multiply
    163,620x = 353,016 × 353,016
  4. Step 4: Simplify right side
    163,620x = 124,620,296,256
  5. Step 5: Solve for x
    x = 124,620,296,256/163,620
  6. Step 6: Final answer
    x = 761,644.64

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.