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Finding the Third Proportional to 143,543 and 309,023

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Solution

The third proportional to 143,543 and 309,023 is: 665,272.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,543 : 309,023 = 309,023 : x
  2. Step 2: Convert to fraction form
    143,543/309,023 = 309,023/x
  3. Step 3: Cross multiply
    143,543x = 309,023 × 309,023
  4. Step 4: Simplify right side
    143,543x = 95,495,214,529
  5. Step 5: Solve for x
    x = 95,495,214,529/143,543
  6. Step 6: Final answer
    x = 665,272.53

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.