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Finding the Third Proportional to 131,870 and 285,628

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Solution

The third proportional to 131,870 and 285,628 is: 618,665.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,870 : 285,628 = 285,628 : x
  2. Step 2: Convert to fraction form
    131,870/285,628 = 285,628/x
  3. Step 3: Cross multiply
    131,870x = 285,628 × 285,628
  4. Step 4: Simplify right side
    131,870x = 81,583,354,384
  5. Step 5: Solve for x
    x = 81,583,354,384/131,870
  6. Step 6: Final answer
    x = 618,665.01

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.