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Finding the Third Proportional to 164,039 and 356,536

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Solution

The third proportional to 164,039 and 356,536 is: 774,924.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,039 : 356,536 = 356,536 : x
  2. Step 2: Convert to fraction form
    164,039/356,536 = 356,536/x
  3. Step 3: Cross multiply
    164,039x = 356,536 × 356,536
  4. Step 4: Simplify right side
    164,039x = 127,117,919,296
  5. Step 5: Solve for x
    x = 127,117,919,296/164,039
  6. Step 6: Final answer
    x = 774,924.98

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.