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Finding the Third Proportional to 163,424 and 256,796

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Solution

The third proportional to 163,424 and 256,796 is: 403,515.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,424 : 256,796 = 256,796 : x
  2. Step 2: Convert to fraction form
    163,424/256,796 = 256,796/x
  3. Step 3: Cross multiply
    163,424x = 256,796 × 256,796
  4. Step 4: Simplify right side
    163,424x = 65,944,185,616
  5. Step 5: Solve for x
    x = 65,944,185,616/163,424
  6. Step 6: Final answer
    x = 403,515.92

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.