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Finding the Third Proportional to 175,906.69 and 343,063.69

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Solution

The third proportional to 175,906.69 and 343,063.69 is: 669,063.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,906.69 : 343,063.69 = 343,063.69 : x
  2. Step 2: Convert to fraction form
    175,906.69/343,063.69 = 343,063.69/x
  3. Step 3: Cross multiply
    175,906.69x = 343,063.69 × 343,063.69
  4. Step 4: Simplify right side
    175,906.69x = 117,692,693,681.10
  5. Step 5: Solve for x
    x = 117,692,693,681.10/175,906.69
  6. Step 6: Final answer
    x = 669,063.21

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These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.