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Finding the Third Proportional to 230,246 and 355,217

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Solution

The third proportional to 230,246 and 355,217 is: 548,018.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,246 : 355,217 = 355,217 : x
  2. Step 2: Convert to fraction form
    230,246/355,217 = 355,217/x
  3. Step 3: Cross multiply
    230,246x = 355,217 × 355,217
  4. Step 4: Simplify right side
    230,246x = 126,179,117,089
  5. Step 5: Solve for x
    x = 126,179,117,089/230,246
  6. Step 6: Final answer
    x = 548,018.72

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.