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Finding the Third Proportional to 148,987.69 and 323,373.94

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Solution

The third proportional to 148,987.69 and 323,373.94 is: 701,874.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,987.69 : 323,373.94 = 323,373.94 : x
  2. Step 2: Convert to fraction form
    148,987.69/323,373.94 = 323,373.94/x
  3. Step 3: Cross multiply
    148,987.69x = 323,373.94 × 323,373.94
  4. Step 4: Simplify right side
    148,987.69x = 104,570,703,454.25
  5. Step 5: Solve for x
    x = 104,570,703,454.25/148,987.69
  6. Step 6: Final answer
    x = 701,874.80

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.