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Finding the Third Proportional to 230,038 and 349,196

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Solution

The third proportional to 230,038 and 349,196 is: 530,076.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,038 : 349,196 = 349,196 : x
  2. Step 2: Convert to fraction form
    230,038/349,196 = 349,196/x
  3. Step 3: Cross multiply
    230,038x = 349,196 × 349,196
  4. Step 4: Simplify right side
    230,038x = 121,937,846,416
  5. Step 5: Solve for x
    x = 121,937,846,416/230,038
  6. Step 6: Final answer
    x = 530,076.97

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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.