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Finding the Third Proportional to 163,424 and 350,560

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Solution

The third proportional to 163,424 and 350,560 is: 751,984.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,424 : 350,560 = 350,560 : x
  2. Step 2: Convert to fraction form
    163,424/350,560 = 350,560/x
  3. Step 3: Cross multiply
    163,424x = 350,560 × 350,560
  4. Step 4: Simplify right side
    163,424x = 122,892,313,600
  5. Step 5: Solve for x
    x = 122,892,313,600/163,424
  6. Step 6: Final answer
    x = 751,984.49

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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.