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Finding the Third Proportional to 195,502 and 425,996

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Solution

The third proportional to 195,502 and 425,996 is: 928,239.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,502 : 425,996 = 425,996 : x
  2. Step 2: Convert to fraction form
    195,502/425,996 = 425,996/x
  3. Step 3: Cross multiply
    195,502x = 425,996 × 425,996
  4. Step 4: Simplify right side
    195,502x = 181,472,592,016
  5. Step 5: Solve for x
    x = 181,472,592,016/195,502
  6. Step 6: Final answer
    x = 928,239.06

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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.