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Finding the Third Proportional to 152,609.50 and 224,503.75

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Solution

The third proportional to 152,609.50 and 224,503.75 is: 330,267.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,609.50 : 224,503.75 = 224,503.75 : x
  2. Step 2: Convert to fraction form
    152,609.50/224,503.75 = 224,503.75/x
  3. Step 3: Cross multiply
    152,609.50x = 224,503.75 × 224,503.75
  4. Step 4: Simplify right side
    152,609.50x = 50,401,933,764.06
  5. Step 5: Solve for x
    x = 50,401,933,764.06/152,609.50
  6. Step 6: Final answer
    x = 330,267.34

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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.