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Finding the Third Proportional to 218,716 and 342,653

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Solution

The third proportional to 218,716 and 342,653 is: 536,819.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,716 : 342,653 = 342,653 : x
  2. Step 2: Convert to fraction form
    218,716/342,653 = 342,653/x
  3. Step 3: Cross multiply
    218,716x = 342,653 × 342,653
  4. Step 4: Simplify right side
    218,716x = 117,411,078,409
  5. Step 5: Solve for x
    x = 117,411,078,409/218,716
  6. Step 6: Final answer
    x = 536,819.80

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.