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Finding the Third Proportional to 148,146.94 and 325,129.88

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Solution

The third proportional to 148,146.94 and 325,129.88 is: 713,544.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,146.94 : 325,129.88 = 325,129.88 : x
  2. Step 2: Convert to fraction form
    148,146.94/325,129.88 = 325,129.88/x
  3. Step 3: Cross multiply
    148,146.94x = 325,129.88 × 325,129.88
  4. Step 4: Simplify right side
    148,146.94x = 105,709,435,617.52
  5. Step 5: Solve for x
    x = 105,709,435,617.52/148,146.94
  6. Step 6: Final answer
    x = 713,544.52

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.