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Finding the Third Proportional to 125,646 and 194,304

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Solution

The third proportional to 125,646 and 194,304 is: 300,479.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,646 : 194,304 = 194,304 : x
  2. Step 2: Convert to fraction form
    125,646/194,304 = 194,304/x
  3. Step 3: Cross multiply
    125,646x = 194,304 × 194,304
  4. Step 4: Simplify right side
    125,646x = 37,754,044,416
  5. Step 5: Solve for x
    x = 37,754,044,416/125,646
  6. Step 6: Final answer
    x = 300,479.48

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.