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Finding the Third Proportional to 194,448 and 425,472

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Solution

The third proportional to 194,448 and 425,472 is: 930,976.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,448 : 425,472 = 425,472 : x
  2. Step 2: Convert to fraction form
    194,448/425,472 = 425,472/x
  3. Step 3: Cross multiply
    194,448x = 425,472 × 425,472
  4. Step 4: Simplify right side
    194,448x = 181,026,422,784
  5. Step 5: Solve for x
    x = 181,026,422,784/194,448
  6. Step 6: Final answer
    x = 930,976.01

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.