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Finding the Third Proportional to 136,166 and 294,196

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Solution

The third proportional to 136,166 and 294,196 is: 635,630.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,166 : 294,196 = 294,196 : x
  2. Step 2: Convert to fraction form
    136,166/294,196 = 294,196/x
  3. Step 3: Cross multiply
    136,166x = 294,196 × 294,196
  4. Step 4: Simplify right side
    136,166x = 86,551,286,416
  5. Step 5: Solve for x
    x = 86,551,286,416/136,166
  6. Step 6: Final answer
    x = 635,630.67

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.