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Finding the Third Proportional to 152,392.50 and 237,313.97

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Solution

The third proportional to 152,392.50 and 237,313.97 is: 369,558.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,392.50 : 237,313.97 = 237,313.97 : x
  2. Step 2: Convert to fraction form
    152,392.50/237,313.97 = 237,313.97/x
  3. Step 3: Cross multiply
    152,392.50x = 237,313.97 × 237,313.97
  4. Step 4: Simplify right side
    152,392.50x = 56,317,919,763.88
  5. Step 5: Solve for x
    x = 56,317,919,763.88/152,392.50
  6. Step 6: Final answer
    x = 369,558.34

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.