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Finding the Third Proportional to 237,370.50 and 317,084.63

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Solution

The third proportional to 237,370.50 and 317,084.63 is: 423,568.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,370.50 : 317,084.63 = 317,084.63 : x
  2. Step 2: Convert to fraction form
    237,370.50/317,084.63 = 317,084.63/x
  3. Step 3: Cross multiply
    237,370.50x = 317,084.63 × 317,084.63
  4. Step 4: Simplify right side
    237,370.50x = 100,542,659,411.39
  5. Step 5: Solve for x
    x = 100,542,659,411.39/237,370.50
  6. Step 6: Final answer
    x = 423,568.47

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.