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Finding the Third Proportional to 163,425 and 341,826

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Solution

The third proportional to 163,425 and 341,826 is: 714,976.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,425 : 341,826 = 341,826 : x
  2. Step 2: Convert to fraction form
    163,425/341,826 = 341,826/x
  3. Step 3: Cross multiply
    163,425x = 341,826 × 341,826
  4. Step 4: Simplify right side
    163,425x = 116,845,014,276
  5. Step 5: Solve for x
    x = 116,845,014,276/163,425
  6. Step 6: Final answer
    x = 714,976.38

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.