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Finding the Third Proportional to 154,829.81 and 218,035.97

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Solution

The third proportional to 154,829.81 and 218,035.97 is: 307,044.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,829.81 : 218,035.97 = 218,035.97 : x
  2. Step 2: Convert to fraction form
    154,829.81/218,035.97 = 218,035.97/x
  3. Step 3: Cross multiply
    154,829.81x = 218,035.97 × 218,035.97
  4. Step 4: Simplify right side
    154,829.81x = 47,539,683,668.75
  5. Step 5: Solve for x
    x = 47,539,683,668.75/154,829.81
  6. Step 6: Final answer
    x = 307,044.77

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.