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Finding the Third Proportional to 130,169 and 196,361

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Solution

The third proportional to 130,169 and 196,361 is: 296,212.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,169 : 196,361 = 196,361 : x
  2. Step 2: Convert to fraction form
    130,169/196,361 = 196,361/x
  3. Step 3: Cross multiply
    130,169x = 196,361 × 196,361
  4. Step 4: Simplify right side
    130,169x = 38,557,642,321
  5. Step 5: Solve for x
    x = 38,557,642,321/130,169
  6. Step 6: Final answer
    x = 296,212.17

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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.