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Finding the Third Proportional to 143,980.50 and 314,164.50

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Solution

The third proportional to 143,980.50 and 314,164.50 is: 685,504.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,980.50 : 314,164.50 = 314,164.50 : x
  2. Step 2: Convert to fraction form
    143,980.50/314,164.50 = 314,164.50/x
  3. Step 3: Cross multiply
    143,980.50x = 314,164.50 × 314,164.50
  4. Step 4: Simplify right side
    143,980.50x = 98,699,333,060.25
  5. Step 5: Solve for x
    x = 98,699,333,060.25/143,980.50
  6. Step 6: Final answer
    x = 685,504.86

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.