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Finding the Third Proportional to 143,192 and 309,984

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Solution

The third proportional to 143,192 and 309,984 is: 671,057.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,192 : 309,984 = 309,984 : x
  2. Step 2: Convert to fraction form
    143,192/309,984 = 309,984/x
  3. Step 3: Cross multiply
    143,192x = 309,984 × 309,984
  4. Step 4: Simplify right side
    143,192x = 96,090,080,256
  5. Step 5: Solve for x
    x = 96,090,080,256/143,192
  6. Step 6: Final answer
    x = 671,057.60

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.