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Finding the Third Proportional to 150,037.88 and 230,068.13

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Solution

The third proportional to 150,037.88 and 230,068.13 is: 352,786.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,037.88 : 230,068.13 = 230,068.13 : x
  2. Step 2: Convert to fraction form
    150,037.88/230,068.13 = 230,068.13/x
  3. Step 3: Cross multiply
    150,037.88x = 230,068.13 × 230,068.13
  4. Step 4: Simplify right side
    150,037.88x = 52,931,342,141.02
  5. Step 5: Solve for x
    x = 52,931,342,141.02/150,037.88
  6. Step 6: Final answer
    x = 352,786.54

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.