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Finding the Third Proportional to 174,894 and 376,548

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Solution

The third proportional to 174,894 and 376,548 is: 810,710.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,894 : 376,548 = 376,548 : x
  2. Step 2: Convert to fraction form
    174,894/376,548 = 376,548/x
  3. Step 3: Cross multiply
    174,894x = 376,548 × 376,548
  4. Step 4: Simplify right side
    174,894x = 141,788,396,304
  5. Step 5: Solve for x
    x = 141,788,396,304/174,894
  6. Step 6: Final answer
    x = 810,710.47

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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.