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Finding the Third Proportional to 235,576 and 363,948

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Solution

The third proportional to 235,576 and 363,948 is: 562,273.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,576 : 363,948 = 363,948 : x
  2. Step 2: Convert to fraction form
    235,576/363,948 = 363,948/x
  3. Step 3: Cross multiply
    235,576x = 363,948 × 363,948
  4. Step 4: Simplify right side
    235,576x = 132,458,146,704
  5. Step 5: Solve for x
    x = 132,458,146,704/235,576
  6. Step 6: Final answer
    x = 562,273.52

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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.