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Finding the Third Proportional to 200,232 and 355,948

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Solution

The third proportional to 200,232 and 355,948 is: 632,760.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,232 : 355,948 = 355,948 : x
  2. Step 2: Convert to fraction form
    200,232/355,948 = 355,948/x
  3. Step 3: Cross multiply
    200,232x = 355,948 × 355,948
  4. Step 4: Simplify right side
    200,232x = 126,698,978,704
  5. Step 5: Solve for x
    x = 126,698,978,704/200,232
  6. Step 6: Final answer
    x = 632,760.89

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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.