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Finding the Third Proportional to 178,007.63 and 237,785.63

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Solution

The third proportional to 178,007.63 and 237,785.63 is: 317,638.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,007.63 : 237,785.63 = 237,785.63 : x
  2. Step 2: Convert to fraction form
    178,007.63/237,785.63 = 237,785.63/x
  3. Step 3: Cross multiply
    178,007.63x = 237,785.63 × 237,785.63
  4. Step 4: Simplify right side
    178,007.63x = 56,542,003,456.64
  5. Step 5: Solve for x
    x = 56,542,003,456.64/178,007.63
  6. Step 6: Final answer
    x = 317,638.10

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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.