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Finding the Third Proportional to 148,072.50 and 216,555.19

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Solution

The third proportional to 148,072.50 and 216,555.19 is: 316,710.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,072.50 : 216,555.19 = 216,555.19 : x
  2. Step 2: Convert to fraction form
    148,072.50/216,555.19 = 216,555.19/x
  3. Step 3: Cross multiply
    148,072.50x = 216,555.19 × 216,555.19
  4. Step 4: Simplify right side
    148,072.50x = 46,896,149,233.16
  5. Step 5: Solve for x
    x = 46,896,149,233.16/148,072.50
  6. Step 6: Final answer
    x = 316,710.73

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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.