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Finding the Third Proportional to 158,545.69 and 332,668.69

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Solution

The third proportional to 158,545.69 and 332,668.69 is: 698,022.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,545.69 : 332,668.69 = 332,668.69 : x
  2. Step 2: Convert to fraction form
    158,545.69/332,668.69 = 332,668.69/x
  3. Step 3: Cross multiply
    158,545.69x = 332,668.69 × 332,668.69
  4. Step 4: Simplify right side
    158,545.69x = 110,668,455,642.97
  5. Step 5: Solve for x
    x = 110,668,455,642.97/158,545.69
  6. Step 6: Final answer
    x = 698,022.49

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.