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Finding the Third Proportional to 136,160 and 299,194

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Solution

The third proportional to 136,160 and 299,194 is: 657,440.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,160 : 299,194 = 299,194 : x
  2. Step 2: Convert to fraction form
    136,160/299,194 = 299,194/x
  3. Step 3: Cross multiply
    136,160x = 299,194 × 299,194
  4. Step 4: Simplify right side
    136,160x = 89,517,049,636
  5. Step 5: Solve for x
    x = 89,517,049,636/136,160
  6. Step 6: Final answer
    x = 657,440.14

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.