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Finding the Third Proportional to 130,354 and 194,949

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Solution

The third proportional to 130,354 and 194,949 is: 291,553.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,354 : 194,949 = 194,949 : x
  2. Step 2: Convert to fraction form
    130,354/194,949 = 194,949/x
  3. Step 3: Cross multiply
    130,354x = 194,949 × 194,949
  4. Step 4: Simplify right side
    130,354x = 38,005,112,601
  5. Step 5: Solve for x
    x = 38,005,112,601/130,354
  6. Step 6: Final answer
    x = 291,553.10

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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.