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Finding the Third Proportional to 148,038 and 219,504

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Solution

The third proportional to 148,038 and 219,504 is: 325,470.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,038 : 219,504 = 219,504 : x
  2. Step 2: Convert to fraction form
    148,038/219,504 = 219,504/x
  3. Step 3: Cross multiply
    148,038x = 219,504 × 219,504
  4. Step 4: Simplify right side
    148,038x = 48,182,006,016
  5. Step 5: Solve for x
    x = 48,182,006,016/148,038
  6. Step 6: Final answer
    x = 325,470.53

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.