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Finding the Third Proportional to 140,656 and 303,307

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Solution

The third proportional to 140,656 and 303,307 is: 654,043.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,656 : 303,307 = 303,307 : x
  2. Step 2: Convert to fraction form
    140,656/303,307 = 303,307/x
  3. Step 3: Cross multiply
    140,656x = 303,307 × 303,307
  4. Step 4: Simplify right side
    140,656x = 91,995,136,249
  5. Step 5: Solve for x
    x = 91,995,136,249/140,656
  6. Step 6: Final answer
    x = 654,043.46

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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.