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Finding the Third Proportional to 140,188 and 302,984

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Solution

The third proportional to 140,188 and 302,984 is: 654,829.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,188 : 302,984 = 302,984 : x
  2. Step 2: Convert to fraction form
    140,188/302,984 = 302,984/x
  3. Step 3: Cross multiply
    140,188x = 302,984 × 302,984
  4. Step 4: Simplify right side
    140,188x = 91,799,304,256
  5. Step 5: Solve for x
    x = 91,799,304,256/140,188
  6. Step 6: Final answer
    x = 654,829.97

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Why These Related Problems?

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