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Finding the Third Proportional to 216,696 and 325,052

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Solution

The third proportional to 216,696 and 325,052 is: 487,590.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,696 : 325,052 = 325,052 : x
  2. Step 2: Convert to fraction form
    216,696/325,052 = 325,052/x
  3. Step 3: Cross multiply
    216,696x = 325,052 × 325,052
  4. Step 4: Simplify right side
    216,696x = 105,658,802,704
  5. Step 5: Solve for x
    x = 105,658,802,704/216,696
  6. Step 6: Final answer
    x = 487,590.00

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.