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Finding the Third Proportional to 130,158 and 196,344

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Solution

The third proportional to 130,158 and 196,344 is: 296,185.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,158 : 196,344 = 196,344 : x
  2. Step 2: Convert to fraction form
    130,158/196,344 = 196,344/x
  3. Step 3: Cross multiply
    130,158x = 196,344 × 196,344
  4. Step 4: Simplify right side
    130,158x = 38,550,966,336
  5. Step 5: Solve for x
    x = 38,550,966,336/130,158
  6. Step 6: Final answer
    x = 296,185.92

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.