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Finding the Third Proportional to 130,794 and 191,526

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Solution

The third proportional to 130,794 and 191,526 is: 280,457.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,794 : 191,526 = 191,526 : x
  2. Step 2: Convert to fraction form
    130,794/191,526 = 191,526/x
  3. Step 3: Cross multiply
    130,794x = 191,526 × 191,526
  4. Step 4: Simplify right side
    130,794x = 36,682,208,676
  5. Step 5: Solve for x
    x = 36,682,208,676/130,794
  6. Step 6: Final answer
    x = 280,457.89

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.