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Finding the Third Proportional to 158,464.50 and 348,033

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Solution

The third proportional to 158,464.50 and 348,033 is: 764,379.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,464.50 : 348,033 = 348,033 : x
  2. Step 2: Convert to fraction form
    158,464.50/348,033 = 348,033/x
  3. Step 3: Cross multiply
    158,464.50x = 348,033 × 348,033
  4. Step 4: Simplify right side
    158,464.50x = 121,126,969,089
  5. Step 5: Solve for x
    x = 121,126,969,089/158,464.50
  6. Step 6: Final answer
    x = 764,379.21

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.