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Finding the Third Proportional to 164,182 and 356,388

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Solution

The third proportional to 164,182 and 356,388 is: 773,607.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,182 : 356,388 = 356,388 : x
  2. Step 2: Convert to fraction form
    164,182/356,388 = 356,388/x
  3. Step 3: Cross multiply
    164,182x = 356,388 × 356,388
  4. Step 4: Simplify right side
    164,182x = 127,012,406,544
  5. Step 5: Solve for x
    x = 127,012,406,544/164,182
  6. Step 6: Final answer
    x = 773,607.38

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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.