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Finding the Third Proportional to 152,311.50 and 223,267.50

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Solution

The third proportional to 152,311.50 and 223,267.50 is: 327,279.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,311.50 : 223,267.50 = 223,267.50 : x
  2. Step 2: Convert to fraction form
    152,311.50/223,267.50 = 223,267.50/x
  3. Step 3: Cross multiply
    152,311.50x = 223,267.50 × 223,267.50
  4. Step 4: Simplify right side
    152,311.50x = 49,848,376,556.25
  5. Step 5: Solve for x
    x = 49,848,376,556.25/152,311.50
  6. Step 6: Final answer
    x = 327,279.14

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.