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Finding the Third Proportional to 219,925 and 363,948

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Solution

The third proportional to 219,925 and 363,948 is: 602,287.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,925 : 363,948 = 363,948 : x
  2. Step 2: Convert to fraction form
    219,925/363,948 = 363,948/x
  3. Step 3: Cross multiply
    219,925x = 363,948 × 363,948
  4. Step 4: Simplify right side
    219,925x = 132,458,146,704
  5. Step 5: Solve for x
    x = 132,458,146,704/219,925
  6. Step 6: Final answer
    x = 602,287.81

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Why These Related Problems?

These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.