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Finding the Third Proportional to 164,239 and 356,362

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Solution

The third proportional to 164,239 and 356,362 is: 773,226.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,239 : 356,362 = 356,362 : x
  2. Step 2: Convert to fraction form
    164,239/356,362 = 356,362/x
  3. Step 3: Cross multiply
    164,239x = 356,362 × 356,362
  4. Step 4: Simplify right side
    164,239x = 126,993,875,044
  5. Step 5: Solve for x
    x = 126,993,875,044/164,239
  6. Step 6: Final answer
    x = 773,226.06

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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.