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Finding the Third Proportional to 218,316 and 328,284.75

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Solution

The third proportional to 218,316 and 328,284.75 is: 493,646.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,316 : 328,284.75 = 328,284.75 : x
  2. Step 2: Convert to fraction form
    218,316/328,284.75 = 328,284.75/x
  3. Step 3: Cross multiply
    218,316x = 328,284.75 × 328,284.75
  4. Step 4: Simplify right side
    218,316x = 107,770,877,082.56
  5. Step 5: Solve for x
    x = 107,770,877,082.56/218,316
  6. Step 6: Final answer
    x = 493,646.26

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