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Finding the Third Proportional to 238,428.56 and 360,072.84

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Solution

The third proportional to 238,428.56 and 360,072.84 is: 543,779.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,428.56 : 360,072.84 = 360,072.84 : x
  2. Step 2: Convert to fraction form
    238,428.56/360,072.84 = 360,072.84/x
  3. Step 3: Cross multiply
    238,428.56x = 360,072.84 × 360,072.84
  4. Step 4: Simplify right side
    238,428.56x = 129,652,452,806.21
  5. Step 5: Solve for x
    x = 129,652,452,806.21/238,428.56
  6. Step 6: Final answer
    x = 543,779.03

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.