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Finding the Third Proportional to 180,315 and 285,524

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Solution

The third proportional to 180,315 and 285,524 is: 452,119.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,315 : 285,524 = 285,524 : x
  2. Step 2: Convert to fraction form
    180,315/285,524 = 285,524/x
  3. Step 3: Cross multiply
    180,315x = 285,524 × 285,524
  4. Step 4: Simplify right side
    180,315x = 81,523,954,576
  5. Step 5: Solve for x
    x = 81,523,954,576/180,315
  6. Step 6: Final answer
    x = 452,119.65

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.