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Finding the Third Proportional to 144,148 and 219,775

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Solution

The third proportional to 144,148 and 219,775 is: 335,079.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,148 : 219,775 = 219,775 : x
  2. Step 2: Convert to fraction form
    144,148/219,775 = 219,775/x
  3. Step 3: Cross multiply
    144,148x = 219,775 × 219,775
  4. Step 4: Simplify right side
    144,148x = 48,301,050,625
  5. Step 5: Solve for x
    x = 48,301,050,625/144,148
  6. Step 6: Final answer
    x = 335,079.58

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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.