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Finding the Third Proportional to 152,571.75 and 221,931.75

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Solution

The third proportional to 152,571.75 and 221,931.75 is: 322,823.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,571.75 : 221,931.75 = 221,931.75 : x
  2. Step 2: Convert to fraction form
    152,571.75/221,931.75 = 221,931.75/x
  3. Step 3: Cross multiply
    152,571.75x = 221,931.75 × 221,931.75
  4. Step 4: Simplify right side
    152,571.75x = 49,253,701,658.06
  5. Step 5: Solve for x
    x = 49,253,701,658.06/152,571.75
  6. Step 6: Final answer
    x = 322,823.21

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.