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Finding the Third Proportional to 117,674 and 252,196

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Solution

The third proportional to 117,674 and 252,196 is: 540,500.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,674 : 252,196 = 252,196 : x
  2. Step 2: Convert to fraction form
    117,674/252,196 = 252,196/x
  3. Step 3: Cross multiply
    117,674x = 252,196 × 252,196
  4. Step 4: Simplify right side
    117,674x = 63,602,822,416
  5. Step 5: Solve for x
    x = 63,602,822,416/117,674
  6. Step 6: Final answer
    x = 540,500.22

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.