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Finding the Third Proportional to 175,104 and 365,272

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Solution

The third proportional to 175,104 and 365,272 is: 761,967.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,104 : 365,272 = 365,272 : x
  2. Step 2: Convert to fraction form
    175,104/365,272 = 365,272/x
  3. Step 3: Cross multiply
    175,104x = 365,272 × 365,272
  4. Step 4: Simplify right side
    175,104x = 133,423,633,984
  5. Step 5: Solve for x
    x = 133,423,633,984/175,104
  6. Step 6: Final answer
    x = 761,967.94

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.