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Finding the Third Proportional to 218,303.25 and 326,106.88

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Solution

The third proportional to 218,303.25 and 326,106.88 is: 487,146.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,303.25 : 326,106.88 = 326,106.88 : x
  2. Step 2: Convert to fraction form
    218,303.25/326,106.88 = 326,106.88/x
  3. Step 3: Cross multiply
    218,303.25x = 326,106.88 × 326,106.88
  4. Step 4: Simplify right side
    218,303.25x = 106,345,693,922.27
  5. Step 5: Solve for x
    x = 106,345,693,922.27/218,303.25
  6. Step 6: Final answer
    x = 487,146.64

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.