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Finding the Third Proportional to 230,037.75 and 349,193.25

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Solution

The third proportional to 230,037.75 and 349,193.25 is: 530,069.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,037.75 : 349,193.25 = 349,193.25 : x
  2. Step 2: Convert to fraction form
    230,037.75/349,193.25 = 349,193.25/x
  3. Step 3: Cross multiply
    230,037.75x = 349,193.25 × 349,193.25
  4. Step 4: Simplify right side
    230,037.75x = 121,935,925,845.56
  5. Step 5: Solve for x
    x = 121,935,925,845.56/230,037.75
  6. Step 6: Final answer
    x = 530,069.20

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.