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Finding the Third Proportional to 238,053.38 and 322,941.94

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Solution

The third proportional to 238,053.38 and 322,941.94 is: 438,101.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,053.38 : 322,941.94 = 322,941.94 : x
  2. Step 2: Convert to fraction form
    238,053.38/322,941.94 = 322,941.94/x
  3. Step 3: Cross multiply
    238,053.38x = 322,941.94 × 322,941.94
  4. Step 4: Simplify right side
    238,053.38x = 104,291,494,996.25
  5. Step 5: Solve for x
    x = 104,291,494,996.25/238,053.38
  6. Step 6: Final answer
    x = 438,101.31

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.