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Finding the Third Proportional to 207,024.56 and 311,573.44

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Solution

The third proportional to 207,024.56 and 311,573.44 is: 468,920.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,024.56 : 311,573.44 = 311,573.44 : x
  2. Step 2: Convert to fraction form
    207,024.56/311,573.44 = 311,573.44/x
  3. Step 3: Cross multiply
    207,024.56x = 311,573.44 × 311,573.44
  4. Step 4: Simplify right side
    207,024.56x = 97,078,006,955.57
  5. Step 5: Solve for x
    x = 97,078,006,955.57/207,024.56
  6. Step 6: Final answer
    x = 468,920.24

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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.