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Finding the Third Proportional to 186,984 and 400,197

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Solution

The third proportional to 186,984 and 400,197 is: 856,531.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,984 : 400,197 = 400,197 : x
  2. Step 2: Convert to fraction form
    186,984/400,197 = 400,197/x
  3. Step 3: Cross multiply
    186,984x = 400,197 × 400,197
  4. Step 4: Simplify right side
    186,984x = 160,157,638,809
  5. Step 5: Solve for x
    x = 160,157,638,809/186,984
  6. Step 6: Final answer
    x = 856,531.25

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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.