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Finding the Third Proportional to 319,309.50 and 532,161

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Solution

The third proportional to 319,309.50 and 532,161 is: 886,899.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,309.50 : 532,161 = 532,161 : x
  2. Step 2: Convert to fraction form
    319,309.50/532,161 = 532,161/x
  3. Step 3: Cross multiply
    319,309.50x = 532,161 × 532,161
  4. Step 4: Simplify right side
    319,309.50x = 283,195,329,921
  5. Step 5: Solve for x
    x = 283,195,329,921/319,309.50
  6. Step 6: Final answer
    x = 886,899.17

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.