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Finding the Third Proportional to 194,528 and 285,472

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Solution

The third proportional to 194,528 and 285,472 is: 418,933.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,528 : 285,472 = 285,472 : x
  2. Step 2: Convert to fraction form
    194,528/285,472 = 285,472/x
  3. Step 3: Cross multiply
    194,528x = 285,472 × 285,472
  4. Step 4: Simplify right side
    194,528x = 81,494,262,784
  5. Step 5: Solve for x
    x = 81,494,262,784/194,528
  6. Step 6: Final answer
    x = 418,933.33

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.