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Finding the Third Proportional to 223,291.69 and 340,164.56

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Solution

The third proportional to 223,291.69 and 340,164.56 is: 518,209.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,291.69 : 340,164.56 = 340,164.56 : x
  2. Step 2: Convert to fraction form
    223,291.69/340,164.56 = 340,164.56/x
  3. Step 3: Cross multiply
    223,291.69x = 340,164.56 × 340,164.56
  4. Step 4: Simplify right side
    223,291.69x = 115,711,929,580.82
  5. Step 5: Solve for x
    x = 115,711,929,580.82/223,291.69
  6. Step 6: Final answer
    x = 518,209.75

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.