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Finding the Third Proportional to 144,755.86 and 219,594.16

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Solution

The third proportional to 144,755.86 and 219,594.16 is: 333,123.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,755.86 : 219,594.16 = 219,594.16 : x
  2. Step 2: Convert to fraction form
    144,755.86/219,594.16 = 219,594.16/x
  3. Step 3: Cross multiply
    144,755.86x = 219,594.16 × 219,594.16
  4. Step 4: Simplify right side
    144,755.86x = 48,221,596,890.31
  5. Step 5: Solve for x
    x = 48,221,596,890.31/144,755.86
  6. Step 6: Final answer
    x = 333,123.63

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.