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Finding the Third Proportional to 238,051.13 and 322,938.56

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Solution

The third proportional to 238,051.13 and 322,938.56 is: 438,096.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,051.13 : 322,938.56 = 322,938.56 : x
  2. Step 2: Convert to fraction form
    238,051.13/322,938.56 = 322,938.56/x
  3. Step 3: Cross multiply
    238,051.13x = 322,938.56 × 322,938.56
  4. Step 4: Simplify right side
    238,051.13x = 104,289,315,149.57
  5. Step 5: Solve for x
    x = 104,289,315,149.57/238,051.13
  6. Step 6: Final answer
    x = 438,096.29

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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.