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Finding the Third Proportional to 230,366 and 355,386

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Solution

The third proportional to 230,366 and 355,386 is: 548,254.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,366 : 355,386 = 355,386 : x
  2. Step 2: Convert to fraction form
    230,366/355,386 = 355,386/x
  3. Step 3: Cross multiply
    230,366x = 355,386 × 355,386
  4. Step 4: Simplify right side
    230,366x = 126,299,208,996
  5. Step 5: Solve for x
    x = 126,299,208,996/230,366
  6. Step 6: Final answer
    x = 548,254.56

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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.