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Finding the Third Proportional to 186,855 and 438,672

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Solution

The third proportional to 186,855 and 438,672 is: 1,029,852.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,855 : 438,672 = 438,672 : x
  2. Step 2: Convert to fraction form
    186,855/438,672 = 438,672/x
  3. Step 3: Cross multiply
    186,855x = 438,672 × 438,672
  4. Step 4: Simplify right side
    186,855x = 192,433,123,584
  5. Step 5: Solve for x
    x = 192,433,123,584/186,855
  6. Step 6: Final answer
    x = 1,029,852.69

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.