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Finding the Third Proportional to 195,024 and 425,728

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Solution

The third proportional to 195,024 and 425,728 is: 929,343.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,024 : 425,728 = 425,728 : x
  2. Step 2: Convert to fraction form
    195,024/425,728 = 425,728/x
  3. Step 3: Cross multiply
    195,024x = 425,728 × 425,728
  4. Step 4: Simplify right side
    195,024x = 181,244,329,984
  5. Step 5: Solve for x
    x = 181,244,329,984/195,024
  6. Step 6: Final answer
    x = 929,343.72

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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.