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Finding the Third Proportional to 162,940.31 and 238,577.06

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Solution

The third proportional to 162,940.31 and 238,577.06 is: 349,324.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,940.31 : 238,577.06 = 238,577.06 : x
  2. Step 2: Convert to fraction form
    162,940.31/238,577.06 = 238,577.06/x
  3. Step 3: Cross multiply
    162,940.31x = 238,577.06 × 238,577.06
  4. Step 4: Simplify right side
    162,940.31x = 56,919,014,751.13
  5. Step 5: Solve for x
    x = 56,919,014,751.13/162,940.31
  6. Step 6: Final answer
    x = 349,324.33

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.