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Finding the Third Proportional to 186,196 and 398,636

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Solution

The third proportional to 186,196 and 398,636 is: 853,459.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,196 : 398,636 = 398,636 : x
  2. Step 2: Convert to fraction form
    186,196/398,636 = 398,636/x
  3. Step 3: Cross multiply
    186,196x = 398,636 × 398,636
  4. Step 4: Simplify right side
    186,196x = 158,910,660,496
  5. Step 5: Solve for x
    x = 158,910,660,496/186,196
  6. Step 6: Final answer
    x = 853,459.05

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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.