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Finding the Third Proportional to 135,732 and 295,548

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Solution

The third proportional to 135,732 and 295,548 is: 643,537.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,732 : 295,548 = 295,548 : x
  2. Step 2: Convert to fraction form
    135,732/295,548 = 295,548/x
  3. Step 3: Cross multiply
    135,732x = 295,548 × 295,548
  4. Step 4: Simplify right side
    135,732x = 87,348,620,304
  5. Step 5: Solve for x
    x = 87,348,620,304/135,732
  6. Step 6: Final answer
    x = 643,537.41

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.