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Finding the Third Proportional to 214,069.50 and 333,360

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Solution

The third proportional to 214,069.50 and 333,360 is: 519,125.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,069.50 : 333,360 = 333,360 : x
  2. Step 2: Convert to fraction form
    214,069.50/333,360 = 333,360/x
  3. Step 3: Cross multiply
    214,069.50x = 333,360 × 333,360
  4. Step 4: Simplify right side
    214,069.50x = 111,128,889,600
  5. Step 5: Solve for x
    x = 111,128,889,600/214,069.50
  6. Step 6: Final answer
    x = 519,125.28

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