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Finding the Third Proportional to 237,336.75 and 317,039.06

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Solution

The third proportional to 237,336.75 and 317,039.06 is: 423,506.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,336.75 : 317,039.06 = 317,039.06 : x
  2. Step 2: Convert to fraction form
    237,336.75/317,039.06 = 317,039.06/x
  3. Step 3: Cross multiply
    237,336.75x = 317,039.06 × 317,039.06
  4. Step 4: Simplify right side
    237,336.75x = 100,513,767,150.88
  5. Step 5: Solve for x
    x = 100,513,767,150.88/237,336.75
  6. Step 6: Final answer
    x = 423,506.97

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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.