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Finding the Third Proportional to 164,070 and 356,544

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Solution

The third proportional to 164,070 and 356,544 is: 774,813.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,070 : 356,544 = 356,544 : x
  2. Step 2: Convert to fraction form
    164,070/356,544 = 356,544/x
  3. Step 3: Cross multiply
    164,070x = 356,544 × 356,544
  4. Step 4: Simplify right side
    164,070x = 127,123,623,936
  5. Step 5: Solve for x
    x = 127,123,623,936/164,070
  6. Step 6: Final answer
    x = 774,813.34

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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.