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Finding the Third Proportional to 136,760 and 287,340

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Solution

The third proportional to 136,760 and 287,340 is: 603,716.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,760 : 287,340 = 287,340 : x
  2. Step 2: Convert to fraction form
    136,760/287,340 = 287,340/x
  3. Step 3: Cross multiply
    136,760x = 287,340 × 287,340
  4. Step 4: Simplify right side
    136,760x = 82,564,275,600
  5. Step 5: Solve for x
    x = 82,564,275,600/136,760
  6. Step 6: Final answer
    x = 603,716.55

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.