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Finding the Third Proportional to 180,024 and 279,472

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Solution

The third proportional to 180,024 and 279,472 is: 433,856.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,024 : 279,472 = 279,472 : x
  2. Step 2: Convert to fraction form
    180,024/279,472 = 279,472/x
  3. Step 3: Cross multiply
    180,024x = 279,472 × 279,472
  4. Step 4: Simplify right side
    180,024x = 78,104,598,784
  5. Step 5: Solve for x
    x = 78,104,598,784/180,024
  6. Step 6: Final answer
    x = 433,856.59

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.