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Finding the Third Proportional to 136,186 and 299,246

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Solution

The third proportional to 136,186 and 299,246 is: 657,543.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,186 : 299,246 = 299,246 : x
  2. Step 2: Convert to fraction form
    136,186/299,246 = 299,246/x
  3. Step 3: Cross multiply
    136,186x = 299,246 × 299,246
  4. Step 4: Simplify right side
    136,186x = 89,548,168,516
  5. Step 5: Solve for x
    x = 89,548,168,516/136,186
  6. Step 6: Final answer
    x = 657,543.13

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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.