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Finding the Third Proportional to 144,880.31 and 221,627.53

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Solution

The third proportional to 144,880.31 and 221,627.53 is: 339,029.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,880.31 : 221,627.53 = 221,627.53 : x
  2. Step 2: Convert to fraction form
    144,880.31/221,627.53 = 221,627.53/x
  3. Step 3: Cross multiply
    144,880.31x = 221,627.53 × 221,627.53
  4. Step 4: Simplify right side
    144,880.31x = 49,118,762,607.97
  5. Step 5: Solve for x
    x = 49,118,762,607.97/144,880.31
  6. Step 6: Final answer
    x = 339,029.93

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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.