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Finding the Third Proportional to 155,774 and 233,401.50

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Solution

The third proportional to 155,774 and 233,401.50 is: 349,713.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,774 : 233,401.50 = 233,401.50 : x
  2. Step 2: Convert to fraction form
    155,774/233,401.50 = 233,401.50/x
  3. Step 3: Cross multiply
    155,774x = 233,401.50 × 233,401.50
  4. Step 4: Simplify right side
    155,774x = 54,476,260,202.25
  5. Step 5: Solve for x
    x = 54,476,260,202.25/155,774
  6. Step 6: Final answer
    x = 349,713.43

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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.