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Finding the Third Proportional to 143,553 and 314,580.75

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Solution

The third proportional to 143,553 and 314,580.75 is: 689,369.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,553 : 314,580.75 = 314,580.75 : x
  2. Step 2: Convert to fraction form
    143,553/314,580.75 = 314,580.75/x
  3. Step 3: Cross multiply
    143,553x = 314,580.75 × 314,580.75
  4. Step 4: Simplify right side
    143,553x = 98,961,048,270.56
  5. Step 5: Solve for x
    x = 98,961,048,270.56/143,553
  6. Step 6: Final answer
    x = 689,369.42

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.