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Finding the Third Proportional to 143,301 and 303,670.50

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Solution

The third proportional to 143,301 and 303,670.50 is: 643,511.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,301 : 303,670.50 = 303,670.50 : x
  2. Step 2: Convert to fraction form
    143,301/303,670.50 = 303,670.50/x
  3. Step 3: Cross multiply
    143,301x = 303,670.50 × 303,670.50
  4. Step 4: Simplify right side
    143,301x = 92,215,772,570.25
  5. Step 5: Solve for x
    x = 92,215,772,570.25/143,301
  6. Step 6: Final answer
    x = 643,511.02

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.