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Finding the Third Proportional to 159,264 and 346,623

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Solution

The third proportional to 159,264 and 346,623 is: 754,392.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,264 : 346,623 = 346,623 : x
  2. Step 2: Convert to fraction form
    159,264/346,623 = 346,623/x
  3. Step 3: Cross multiply
    159,264x = 346,623 × 346,623
  4. Step 4: Simplify right side
    159,264x = 120,147,504,129
  5. Step 5: Solve for x
    x = 120,147,504,129/159,264
  6. Step 6: Final answer
    x = 754,392.10

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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.