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Finding the Third Proportional to 158,651.25 and 346,244.25

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Solution

The third proportional to 158,651.25 and 346,244.25 is: 755,651.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,651.25 : 346,244.25 = 346,244.25 : x
  2. Step 2: Convert to fraction form
    158,651.25/346,244.25 = 346,244.25/x
  3. Step 3: Cross multiply
    158,651.25x = 346,244.25 × 346,244.25
  4. Step 4: Simplify right side
    158,651.25x = 119,885,080,658.06
  5. Step 5: Solve for x
    x = 119,885,080,658.06/158,651.25
  6. Step 6: Final answer
    x = 755,651.66

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.