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Finding the Third Proportional to 186,921 and 400,416.75

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Solution

The third proportional to 186,921 and 400,416.75 is: 857,761.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,921 : 400,416.75 = 400,416.75 : x
  2. Step 2: Convert to fraction form
    186,921/400,416.75 = 400,416.75/x
  3. Step 3: Cross multiply
    186,921x = 400,416.75 × 400,416.75
  4. Step 4: Simplify right side
    186,921x = 160,333,573,680.56
  5. Step 5: Solve for x
    x = 160,333,573,680.56/186,921
  6. Step 6: Final answer
    x = 857,761.16

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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.