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Finding the Third Proportional to 144,741 and 229,741

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Solution

The third proportional to 144,741 and 229,741 is: 364,657.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,741 : 229,741 = 229,741 : x
  2. Step 2: Convert to fraction form
    144,741/229,741 = 229,741/x
  3. Step 3: Cross multiply
    144,741x = 229,741 × 229,741
  4. Step 4: Simplify right side
    144,741x = 52,780,927,081
  5. Step 5: Solve for x
    x = 52,780,927,081/144,741
  6. Step 6: Final answer
    x = 364,657.75

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.