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Finding the Third Proportional to 180,364.50 and 285,586.50

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Solution

The third proportional to 180,364.50 and 285,586.50 is: 452,193.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,364.50 : 285,586.50 = 285,586.50 : x
  2. Step 2: Convert to fraction form
    180,364.50/285,586.50 = 285,586.50/x
  3. Step 3: Cross multiply
    180,364.50x = 285,586.50 × 285,586.50
  4. Step 4: Simplify right side
    180,364.50x = 81,559,648,982.25
  5. Step 5: Solve for x
    x = 81,559,648,982.25/180,364.50
  6. Step 6: Final answer
    x = 452,193.47

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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.