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Finding the Third Proportional to 230,341 and 355,352

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Solution

The third proportional to 230,341 and 355,352 is: 548,209.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,341 : 355,352 = 355,352 : x
  2. Step 2: Convert to fraction form
    230,341/355,352 = 355,352/x
  3. Step 3: Cross multiply
    230,341x = 355,352 × 355,352
  4. Step 4: Simplify right side
    230,341x = 126,275,043,904
  5. Step 5: Solve for x
    x = 126,275,043,904/230,341
  6. Step 6: Final answer
    x = 548,209.15

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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.