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Finding the Third Proportional to 144,756.75 and 219,595.13

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Solution

The third proportional to 144,756.75 and 219,595.13 is: 333,124.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,756.75 : 219,595.13 = 219,595.13 : x
  2. Step 2: Convert to fraction form
    144,756.75/219,595.13 = 219,595.13/x
  3. Step 3: Cross multiply
    144,756.75x = 219,595.13 × 219,595.13
  4. Step 4: Simplify right side
    144,756.75x = 48,222,018,923.77
  5. Step 5: Solve for x
    x = 48,222,018,923.77/144,756.75
  6. Step 6: Final answer
    x = 333,124.49

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