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Finding the Third Proportional to 200,234 and 355,952

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Solution

The third proportional to 200,234 and 355,952 is: 632,768.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,234 : 355,952 = 355,952 : x
  2. Step 2: Convert to fraction form
    200,234/355,952 = 355,952/x
  3. Step 3: Cross multiply
    200,234x = 355,952 × 355,952
  4. Step 4: Simplify right side
    200,234x = 126,701,826,304
  5. Step 5: Solve for x
    x = 126,701,826,304/200,234
  6. Step 6: Final answer
    x = 632,768.79

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Why These Related Problems?

These problems maintain the same ratio (1.78) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.