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Finding the Third Proportional to 253,309.25 and 395,300

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Solution

The third proportional to 253,309.25 and 395,300 is: 616,882.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,309.25 : 395,300 = 395,300 : x
  2. Step 2: Convert to fraction form
    253,309.25/395,300 = 395,300/x
  3. Step 3: Cross multiply
    253,309.25x = 395,300 × 395,300
  4. Step 4: Simplify right side
    253,309.25x = 156,262,090,000
  5. Step 5: Solve for x
    x = 156,262,090,000/253,309.25
  6. Step 6: Final answer
    x = 616,882.68

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.