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Finding the Third Proportional to 208,875.75 and 304,511.25

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Solution

The third proportional to 208,875.75 and 304,511.25 is: 443,934.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,875.75 : 304,511.25 = 304,511.25 : x
  2. Step 2: Convert to fraction form
    208,875.75/304,511.25 = 304,511.25/x
  3. Step 3: Cross multiply
    208,875.75x = 304,511.25 × 304,511.25
  4. Step 4: Simplify right side
    208,875.75x = 92,727,101,376.56
  5. Step 5: Solve for x
    x = 92,727,101,376.56/208,875.75
  6. Step 6: Final answer
    x = 443,934.26

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.