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Finding the Third Proportional to 234,967.50 and 343,959.75

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Solution

The third proportional to 234,967.50 and 343,959.75 is: 503,509.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,967.50 : 343,959.75 = 343,959.75 : x
  2. Step 2: Convert to fraction form
    234,967.50/343,959.75 = 343,959.75/x
  3. Step 3: Cross multiply
    234,967.50x = 343,959.75 × 343,959.75
  4. Step 4: Simplify right side
    234,967.50x = 118,308,309,620.06
  5. Step 5: Solve for x
    x = 118,308,309,620.06/234,967.50
  6. Step 6: Final answer
    x = 503,509.25

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.