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Finding the Third Proportional to 144,774 and 218,224.13

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Solution

The third proportional to 144,774 and 218,224.13 is: 328,938.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,774 : 218,224.13 = 218,224.13 : x
  2. Step 2: Convert to fraction form
    144,774/218,224.13 = 218,224.13/x
  3. Step 3: Cross multiply
    144,774x = 218,224.13 × 218,224.13
  4. Step 4: Simplify right side
    144,774x = 47,621,768,732.02
  5. Step 5: Solve for x
    x = 47,621,768,732.02/144,774
  6. Step 6: Final answer
    x = 328,938.68

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.