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Finding the Third Proportional to 130,966 and 282,800

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Solution

The third proportional to 130,966 and 282,800 is: 610,661.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,966 : 282,800 = 282,800 : x
  2. Step 2: Convert to fraction form
    130,966/282,800 = 282,800/x
  3. Step 3: Cross multiply
    130,966x = 282,800 × 282,800
  4. Step 4: Simplify right side
    130,966x = 79,975,840,000
  5. Step 5: Solve for x
    x = 79,975,840,000/130,966
  6. Step 6: Final answer
    x = 610,661.09

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.