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Finding the Third Proportional to 130,168 and 194,742

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Solution

The third proportional to 130,168 and 194,742 is: 291,350.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,168 : 194,742 = 194,742 : x
  2. Step 2: Convert to fraction form
    130,168/194,742 = 194,742/x
  3. Step 3: Cross multiply
    130,168x = 194,742 × 194,742
  4. Step 4: Simplify right side
    130,168x = 37,924,446,564
  5. Step 5: Solve for x
    x = 37,924,446,564/130,168
  6. Step 6: Final answer
    x = 291,350.00

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.