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Finding the Third Proportional to 186,801 and 405,354

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Solution

The third proportional to 186,801 and 405,354 is: 879,609.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,801 : 405,354 = 405,354 : x
  2. Step 2: Convert to fraction form
    186,801/405,354 = 405,354/x
  3. Step 3: Cross multiply
    186,801x = 405,354 × 405,354
  4. Step 4: Simplify right side
    186,801x = 164,311,865,316
  5. Step 5: Solve for x
    x = 164,311,865,316/186,801
  6. Step 6: Final answer
    x = 879,609.13

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.