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Finding the Third Proportional to 179,358.75 and 243,715.50

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Solution

The third proportional to 179,358.75 and 243,715.50 is: 331,164.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,358.75 : 243,715.50 = 243,715.50 : x
  2. Step 2: Convert to fraction form
    179,358.75/243,715.50 = 243,715.50/x
  3. Step 3: Cross multiply
    179,358.75x = 243,715.50 × 243,715.50
  4. Step 4: Simplify right side
    179,358.75x = 59,397,244,940.25
  5. Step 5: Solve for x
    x = 59,397,244,940.25/179,358.75
  6. Step 6: Final answer
    x = 331,164.47

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.