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Finding the Third Proportional to 214,071.75 and 333,364.13

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Solution

The third proportional to 214,071.75 and 333,364.13 is: 519,132.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,071.75 : 333,364.13 = 333,364.13 : x
  2. Step 2: Convert to fraction form
    214,071.75/333,364.13 = 333,364.13/x
  3. Step 3: Cross multiply
    214,071.75x = 333,364.13 × 333,364.13
  4. Step 4: Simplify right side
    214,071.75x = 111,131,639,837.02
  5. Step 5: Solve for x
    x = 111,131,639,837.02/214,071.75
  6. Step 6: Final answer
    x = 519,132.67

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.