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Finding the Third Proportional to 194,952 and 425,136

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Solution

The third proportional to 194,952 and 425,136 is: 927,103.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,952 : 425,136 = 425,136 : x
  2. Step 2: Convert to fraction form
    194,952/425,136 = 425,136/x
  3. Step 3: Cross multiply
    194,952x = 425,136 × 425,136
  4. Step 4: Simplify right side
    194,952x = 180,740,618,496
  5. Step 5: Solve for x
    x = 180,740,618,496/194,952
  6. Step 6: Final answer
    x = 927,103.18

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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.