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Finding the Third Proportional to 176,715.75 and 273,021

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Solution

The third proportional to 176,715.75 and 273,021 is: 421,809.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,715.75 : 273,021 = 273,021 : x
  2. Step 2: Convert to fraction form
    176,715.75/273,021 = 273,021/x
  3. Step 3: Cross multiply
    176,715.75x = 273,021 × 273,021
  4. Step 4: Simplify right side
    176,715.75x = 74,540,466,441
  5. Step 5: Solve for x
    x = 74,540,466,441/176,715.75
  6. Step 6: Final answer
    x = 421,809.98

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.