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Finding the Third Proportional to 109,284 and 240,006

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Solution

The third proportional to 109,284 and 240,006 is: 527,093.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,284 : 240,006 = 240,006 : x
  2. Step 2: Convert to fraction form
    109,284/240,006 = 240,006/x
  3. Step 3: Cross multiply
    109,284x = 240,006 × 240,006
  4. Step 4: Simplify right side
    109,284x = 57,602,880,036
  5. Step 5: Solve for x
    x = 57,602,880,036/109,284
  6. Step 6: Final answer
    x = 527,093.44

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.