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Finding the Third Proportional to 186,935 and 282,633

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Solution

The third proportional to 186,935 and 282,633 is: 427,321.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,935 : 282,633 = 282,633 : x
  2. Step 2: Convert to fraction form
    186,935/282,633 = 282,633/x
  3. Step 3: Cross multiply
    186,935x = 282,633 × 282,633
  4. Step 4: Simplify right side
    186,935x = 79,881,412,689
  5. Step 5: Solve for x
    x = 79,881,412,689/186,935
  6. Step 6: Final answer
    x = 427,321.86

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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.