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Finding the Third Proportional to 148,160.81 and 313,954.31

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Solution

The third proportional to 148,160.81 and 313,954.31 is: 665,272.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,160.81 : 313,954.31 = 313,954.31 : x
  2. Step 2: Convert to fraction form
    148,160.81/313,954.31 = 313,954.31/x
  3. Step 3: Cross multiply
    148,160.81x = 313,954.31 × 313,954.31
  4. Step 4: Simplify right side
    148,160.81x = 98,567,310,337.35
  5. Step 5: Solve for x
    x = 98,567,310,337.35/148,160.81
  6. Step 6: Final answer
    x = 665,272.47

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.