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Finding the Third Proportional to 161,851.50 and 378,031.50

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Solution

The third proportional to 161,851.50 and 378,031.50 is: 882,956.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,851.50 : 378,031.50 = 378,031.50 : x
  2. Step 2: Convert to fraction form
    161,851.50/378,031.50 = 378,031.50/x
  3. Step 3: Cross multiply
    161,851.50x = 378,031.50 × 378,031.50
  4. Step 4: Simplify right side
    161,851.50x = 142,907,814,992.25
  5. Step 5: Solve for x
    x = 142,907,814,992.25/161,851.50
  6. Step 6: Final answer
    x = 882,956.38

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.