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Finding the Third Proportional to 163,384 and 353,909

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Solution

The third proportional to 163,384 and 353,909 is: 766,608.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,384 : 353,909 = 353,909 : x
  2. Step 2: Convert to fraction form
    163,384/353,909 = 353,909/x
  3. Step 3: Cross multiply
    163,384x = 353,909 × 353,909
  4. Step 4: Simplify right side
    163,384x = 125,251,580,281
  5. Step 5: Solve for x
    x = 125,251,580,281/163,384
  6. Step 6: Final answer
    x = 766,608.60

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.