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Finding the Third Proportional to 130,845.38 and 196,263

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Solution

The third proportional to 130,845.38 and 196,263 is: 294,386.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,845.38 : 196,263 = 196,263 : x
  2. Step 2: Convert to fraction form
    130,845.38/196,263 = 196,263/x
  3. Step 3: Cross multiply
    130,845.38x = 196,263 × 196,263
  4. Step 4: Simplify right side
    130,845.38x = 38,519,165,169
  5. Step 5: Solve for x
    x = 38,519,165,169/130,845.38
  6. Step 6: Final answer
    x = 294,386.91

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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.