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Finding the Third Proportional to 135,747 and 292,304

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Solution

The third proportional to 135,747 and 292,304 is: 629,418.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,747 : 292,304 = 292,304 : x
  2. Step 2: Convert to fraction form
    135,747/292,304 = 292,304/x
  3. Step 3: Cross multiply
    135,747x = 292,304 × 292,304
  4. Step 4: Simplify right side
    135,747x = 85,441,628,416
  5. Step 5: Solve for x
    x = 85,441,628,416/135,747
  6. Step 6: Final answer
    x = 629,418.17

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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.