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Finding the Third Proportional to 195,786 and 427,522

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Solution

The third proportional to 195,786 and 427,522 is: 933,545.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,786 : 427,522 = 427,522 : x
  2. Step 2: Convert to fraction form
    195,786/427,522 = 427,522/x
  3. Step 3: Cross multiply
    195,786x = 427,522 × 427,522
  4. Step 4: Simplify right side
    195,786x = 182,775,060,484
  5. Step 5: Solve for x
    x = 182,775,060,484/195,786
  6. Step 6: Final answer
    x = 933,545.10

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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.