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Finding the Third Proportional to 186,567 and 281,411.75

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Solution

The third proportional to 186,567 and 281,411.75 is: 424,472.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,567 : 281,411.75 = 281,411.75 : x
  2. Step 2: Convert to fraction form
    186,567/281,411.75 = 281,411.75/x
  3. Step 3: Cross multiply
    186,567x = 281,411.75 × 281,411.75
  4. Step 4: Simplify right side
    186,567x = 79,192,573,038.06
  5. Step 5: Solve for x
    x = 79,192,573,038.06/186,567
  6. Step 6: Final answer
    x = 424,472.57

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.