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Finding the Third Proportional to 216,919.69 and 333,627.19

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Solution

The third proportional to 216,919.69 and 333,627.19 is: 513,125.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,919.69 : 333,627.19 = 333,627.19 : x
  2. Step 2: Convert to fraction form
    216,919.69/333,627.19 = 333,627.19/x
  3. Step 3: Cross multiply
    216,919.69x = 333,627.19 × 333,627.19
  4. Step 4: Simplify right side
    216,919.69x = 111,307,100,239.16
  5. Step 5: Solve for x
    x = 111,307,100,239.16/216,919.69
  6. Step 6: Final answer
    x = 513,125.86

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.