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Finding the Third Proportional to 180,418.50 and 391,590

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Solution

The third proportional to 180,418.50 and 391,590 is: 849,927.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,418.50 : 391,590 = 391,590 : x
  2. Step 2: Convert to fraction form
    180,418.50/391,590 = 391,590/x
  3. Step 3: Cross multiply
    180,418.50x = 391,590 × 391,590
  4. Step 4: Simplify right side
    180,418.50x = 153,342,728,100
  5. Step 5: Solve for x
    x = 153,342,728,100/180,418.50
  6. Step 6: Final answer
    x = 849,927.96

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.