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Finding the Third Proportional to 175,850 and 378,342

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Solution

The third proportional to 175,850 and 378,342 is: 814,004.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,850 : 378,342 = 378,342 : x
  2. Step 2: Convert to fraction form
    175,850/378,342 = 378,342/x
  3. Step 3: Cross multiply
    175,850x = 378,342 × 378,342
  4. Step 4: Simplify right side
    175,850x = 143,142,668,964
  5. Step 5: Solve for x
    x = 143,142,668,964/175,850
  6. Step 6: Final answer
    x = 814,004.37

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.