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Finding the Third Proportional to 143,810 and 309,692

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Solution

The third proportional to 143,810 and 309,692 is: 666,915.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,810 : 309,692 = 309,692 : x
  2. Step 2: Convert to fraction form
    143,810/309,692 = 309,692/x
  3. Step 3: Cross multiply
    143,810x = 309,692 × 309,692
  4. Step 4: Simplify right side
    143,810x = 95,909,134,864
  5. Step 5: Solve for x
    x = 95,909,134,864/143,810
  6. Step 6: Final answer
    x = 666,915.62

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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.