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Finding the Third Proportional to 140,652 and 303,498

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Solution

The third proportional to 140,652 and 303,498 is: 654,886.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,652 : 303,498 = 303,498 : x
  2. Step 2: Convert to fraction form
    140,652/303,498 = 303,498/x
  3. Step 3: Cross multiply
    140,652x = 303,498 × 303,498
  4. Step 4: Simplify right side
    140,652x = 92,111,036,004
  5. Step 5: Solve for x
    x = 92,111,036,004/140,652
  6. Step 6: Final answer
    x = 654,886.07

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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.