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Finding the Third Proportional to 170,540 and 238,548

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Solution

The third proportional to 170,540 and 238,548 is: 333,676.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,540 : 238,548 = 238,548 : x
  2. Step 2: Convert to fraction form
    170,540/238,548 = 238,548/x
  3. Step 3: Cross multiply
    170,540x = 238,548 × 238,548
  4. Step 4: Simplify right side
    170,540x = 56,905,148,304
  5. Step 5: Solve for x
    x = 56,905,148,304/170,540
  6. Step 6: Final answer
    x = 333,676.25

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.