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Finding the Third Proportional to 138,546 and 299,196

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Solution

The third proportional to 138,546 and 299,196 is: 646,126.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,546 : 299,196 = 299,196 : x
  2. Step 2: Convert to fraction form
    138,546/299,196 = 299,196/x
  3. Step 3: Cross multiply
    138,546x = 299,196 × 299,196
  4. Step 4: Simplify right side
    138,546x = 89,518,246,416
  5. Step 5: Solve for x
    x = 89,518,246,416/138,546
  6. Step 6: Final answer
    x = 646,126.53

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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.