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Finding the Third Proportional to 194,988 and 425,664

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Solution

The third proportional to 194,988 and 425,664 is: 929,235.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,988 : 425,664 = 425,664 : x
  2. Step 2: Convert to fraction form
    194,988/425,664 = 425,664/x
  3. Step 3: Cross multiply
    194,988x = 425,664 × 425,664
  4. Step 4: Simplify right side
    194,988x = 181,189,840,896
  5. Step 5: Solve for x
    x = 181,189,840,896/194,988
  6. Step 6: Final answer
    x = 929,235.86

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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.