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Finding the Third Proportional to 230,002 and 349,154

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Solution

The third proportional to 230,002 and 349,154 is: 530,032.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,002 : 349,154 = 349,154 : x
  2. Step 2: Convert to fraction form
    230,002/349,154 = 349,154/x
  3. Step 3: Cross multiply
    230,002x = 349,154 × 349,154
  4. Step 4: Simplify right side
    230,002x = 121,908,515,716
  5. Step 5: Solve for x
    x = 121,908,515,716/230,002
  6. Step 6: Final answer
    x = 530,032.42

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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.