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Finding the Third Proportional to 136,438.31 and 203,324.06

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Solution

The third proportional to 136,438.31 and 203,324.06 is: 302,999.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,438.31 : 203,324.06 = 203,324.06 : x
  2. Step 2: Convert to fraction form
    136,438.31/203,324.06 = 203,324.06/x
  3. Step 3: Cross multiply
    136,438.31x = 203,324.06 × 203,324.06
  4. Step 4: Simplify right side
    136,438.31x = 41,340,674,391.50
  5. Step 5: Solve for x
    x = 41,340,674,391.50/136,438.31
  6. Step 6: Final answer
    x = 302,999.02

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.