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Finding the Third Proportional to 133,071.19 and 305,407.69

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Solution

The third proportional to 133,071.19 and 305,407.69 is: 700,932.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,071.19 : 305,407.69 = 305,407.69 : x
  2. Step 2: Convert to fraction form
    133,071.19/305,407.69 = 305,407.69/x
  3. Step 3: Cross multiply
    133,071.19x = 305,407.69 × 305,407.69
  4. Step 4: Simplify right side
    133,071.19x = 93,273,855,584.10
  5. Step 5: Solve for x
    x = 93,273,855,584.10/133,071.19
  6. Step 6: Final answer
    x = 700,932.01

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Why These Related Problems?

These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.