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Finding the Third Proportional to 155,828 and 233,922

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Solution

The third proportional to 155,828 and 233,922 is: 351,153.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,828 : 233,922 = 233,922 : x
  2. Step 2: Convert to fraction form
    155,828/233,922 = 233,922/x
  3. Step 3: Cross multiply
    155,828x = 233,922 × 233,922
  4. Step 4: Simplify right side
    155,828x = 54,719,502,084
  5. Step 5: Solve for x
    x = 54,719,502,084/155,828
  6. Step 6: Final answer
    x = 351,153.21

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.