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Finding the Third Proportional to 310,093.50 and 466,956

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Solution

The third proportional to 310,093.50 and 466,956 is: 703,168.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,093.50 : 466,956 = 466,956 : x
  2. Step 2: Convert to fraction form
    310,093.50/466,956 = 466,956/x
  3. Step 3: Cross multiply
    310,093.50x = 466,956 × 466,956
  4. Step 4: Simplify right side
    310,093.50x = 218,047,905,936
  5. Step 5: Solve for x
    x = 218,047,905,936/310,093.50
  6. Step 6: Final answer
    x = 703,168.26

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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.