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Finding the Third Proportional to 214,066.50 and 333,355.88

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Solution

The third proportional to 214,066.50 and 333,355.88 is: 519,119.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,066.50 : 333,355.88 = 333,355.88 : x
  2. Step 2: Convert to fraction form
    214,066.50/333,355.88 = 333,355.88/x
  3. Step 3: Cross multiply
    214,066.50x = 333,355.88 × 333,355.88
  4. Step 4: Simplify right side
    214,066.50x = 111,126,139,397.02
  5. Step 5: Solve for x
    x = 111,126,139,397.02/214,066.50
  6. Step 6: Final answer
    x = 519,119.71

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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.