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Finding the Third Proportional to 148,149 and 325,134

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Solution

The third proportional to 148,149 and 325,134 is: 713,552.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,149 : 325,134 = 325,134 : x
  2. Step 2: Convert to fraction form
    148,149/325,134 = 325,134/x
  3. Step 3: Cross multiply
    148,149x = 325,134 × 325,134
  4. Step 4: Simplify right side
    148,149x = 105,712,117,956
  5. Step 5: Solve for x
    x = 105,712,117,956/148,149
  6. Step 6: Final answer
    x = 713,552.69

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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.