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Finding the Third Proportional to 130,186 and 195,279

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Solution

The third proportional to 130,186 and 195,279 is: 292,918.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,186 : 195,279 = 195,279 : x
  2. Step 2: Convert to fraction form
    130,186/195,279 = 195,279/x
  3. Step 3: Cross multiply
    130,186x = 195,279 × 195,279
  4. Step 4: Simplify right side
    130,186x = 38,133,887,841
  5. Step 5: Solve for x
    x = 38,133,887,841/130,186
  6. Step 6: Final answer
    x = 292,918.50

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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.