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Finding the Third Proportional to 214,078.50 and 333,373.50

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Solution

The third proportional to 214,078.50 and 333,373.50 is: 519,145.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,078.50 : 333,373.50 = 333,373.50 : x
  2. Step 2: Convert to fraction form
    214,078.50/333,373.50 = 333,373.50/x
  3. Step 3: Cross multiply
    214,078.50x = 333,373.50 × 333,373.50
  4. Step 4: Simplify right side
    214,078.50x = 111,137,890,502.25
  5. Step 5: Solve for x
    x = 111,137,890,502.25/214,078.50
  6. Step 6: Final answer
    x = 519,145.50

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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.