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Finding the Third Proportional to 214,060.50 and 333,347.25

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Solution

The third proportional to 214,060.50 and 333,347.25 is: 519,107.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,060.50 : 333,347.25 = 333,347.25 : x
  2. Step 2: Convert to fraction form
    214,060.50/333,347.25 = 333,347.25/x
  3. Step 3: Cross multiply
    214,060.50x = 333,347.25 × 333,347.25
  4. Step 4: Simplify right side
    214,060.50x = 111,120,389,082.56
  5. Step 5: Solve for x
    x = 111,120,389,082.56/214,060.50
  6. Step 6: Final answer
    x = 519,107.40

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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.