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Finding the Third Proportional to 180,224 and 263,488

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Solution

The third proportional to 180,224 and 263,488 is: 385,220.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,224 : 263,488 = 263,488 : x
  2. Step 2: Convert to fraction form
    180,224/263,488 = 263,488/x
  3. Step 3: Cross multiply
    180,224x = 263,488 × 263,488
  4. Step 4: Simplify right side
    180,224x = 69,425,926,144
  5. Step 5: Solve for x
    x = 69,425,926,144/180,224
  6. Step 6: Final answer
    x = 385,220.20

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.