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Finding the Third Proportional to 163,061 and 356,011

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Solution

The third proportional to 163,061 and 356,011 is: 777,278.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,061 : 356,011 = 356,011 : x
  2. Step 2: Convert to fraction form
    163,061/356,011 = 356,011/x
  3. Step 3: Cross multiply
    163,061x = 356,011 × 356,011
  4. Step 4: Simplify right side
    163,061x = 126,743,832,121
  5. Step 5: Solve for x
    x = 126,743,832,121/163,061
  6. Step 6: Final answer
    x = 777,278.64

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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.