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Finding the Third Proportional to 163,746 and 356,328

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Solution

The third proportional to 163,746 and 356,328 is: 775,406.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,746 : 356,328 = 356,328 : x
  2. Step 2: Convert to fraction form
    163,746/356,328 = 356,328/x
  3. Step 3: Cross multiply
    163,746x = 356,328 × 356,328
  4. Step 4: Simplify right side
    163,746x = 126,969,643,584
  5. Step 5: Solve for x
    x = 126,969,643,584/163,746
  6. Step 6: Final answer
    x = 775,406.08

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.