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Finding the Third Proportional to 148,074 and 216,558.75

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Solution

The third proportional to 148,074 and 216,558.75 is: 316,717.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,074 : 216,558.75 = 216,558.75 : x
  2. Step 2: Convert to fraction form
    148,074/216,558.75 = 216,558.75/x
  3. Step 3: Cross multiply
    148,074x = 216,558.75 × 216,558.75
  4. Step 4: Simplify right side
    148,074x = 46,897,692,201.56
  5. Step 5: Solve for x
    x = 46,897,692,201.56/148,074
  6. Step 6: Final answer
    x = 316,717.94

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.