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Finding the Third Proportional to 148,062.38 and 216,566.44

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Solution

The third proportional to 148,062.38 and 216,566.44 is: 316,765.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,062.38 : 216,566.44 = 216,566.44 : x
  2. Step 2: Convert to fraction form
    148,062.38/216,566.44 = 216,566.44/x
  3. Step 3: Cross multiply
    148,062.38x = 216,566.44 × 216,566.44
  4. Step 4: Simplify right side
    148,062.38x = 46,901,021,851.44
  5. Step 5: Solve for x
    x = 46,901,021,851.44/148,062.38
  6. Step 6: Final answer
    x = 316,765.29

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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.