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Finding the Third Proportional to 351,490.50 and 532,166

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Solution

The third proportional to 351,490.50 and 532,166 is: 805,713.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    351,490.50 : 532,166 = 532,166 : x
  2. Step 2: Convert to fraction form
    351,490.50/532,166 = 532,166/x
  3. Step 3: Cross multiply
    351,490.50x = 532,166 × 532,166
  4. Step 4: Simplify right side
    351,490.50x = 283,200,651,556
  5. Step 5: Solve for x
    x = 283,200,651,556/351,490.50
  6. Step 6: Final answer
    x = 805,713.53

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.