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Finding the Third Proportional to 214,068 and 333,357.75

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Solution

The third proportional to 214,068 and 333,357.75 is: 519,121.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,068 : 333,357.75 = 333,357.75 : x
  2. Step 2: Convert to fraction form
    214,068/333,357.75 = 333,357.75/x
  3. Step 3: Cross multiply
    214,068x = 333,357.75 × 333,357.75
  4. Step 4: Simplify right side
    214,068x = 111,127,389,485.06
  5. Step 5: Solve for x
    x = 111,127,389,485.06/214,068
  6. Step 6: Final answer
    x = 519,121.91

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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.