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Finding the Third Proportional to 130,914 and 285,156

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Solution

The third proportional to 130,914 and 285,156 is: 621,124.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,914 : 285,156 = 285,156 : x
  2. Step 2: Convert to fraction form
    130,914/285,156 = 285,156/x
  3. Step 3: Cross multiply
    130,914x = 285,156 × 285,156
  4. Step 4: Simplify right side
    130,914x = 81,313,944,336
  5. Step 5: Solve for x
    x = 81,313,944,336/130,914
  6. Step 6: Final answer
    x = 621,124.89

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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.