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Finding the Third Proportional to 163,602 and 356,822

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Solution

The third proportional to 163,602 and 356,822 is: 778,241.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,602 : 356,822 = 356,822 : x
  2. Step 2: Convert to fraction form
    163,602/356,822 = 356,822/x
  3. Step 3: Cross multiply
    163,602x = 356,822 × 356,822
  4. Step 4: Simplify right side
    163,602x = 127,321,939,684
  5. Step 5: Solve for x
    x = 127,321,939,684/163,602
  6. Step 6: Final answer
    x = 778,241.95

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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.