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Finding the Third Proportional to 144,881.25 and 221,627.25

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Solution

The third proportional to 144,881.25 and 221,627.25 is: 339,026.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,881.25 : 221,627.25 = 221,627.25 : x
  2. Step 2: Convert to fraction form
    144,881.25/221,627.25 = 221,627.25/x
  3. Step 3: Cross multiply
    144,881.25x = 221,627.25 × 221,627.25
  4. Step 4: Simplify right side
    144,881.25x = 49,118,637,942.56
  5. Step 5: Solve for x
    x = 49,118,637,942.56/144,881.25
  6. Step 6: Final answer
    x = 339,026.88

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.