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Finding the Third Proportional to 120,566 and 270,784

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Solution

The third proportional to 120,566 and 270,784 is: 608,164.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,566 : 270,784 = 270,784 : x
  2. Step 2: Convert to fraction form
    120,566/270,784 = 270,784/x
  3. Step 3: Cross multiply
    120,566x = 270,784 × 270,784
  4. Step 4: Simplify right side
    120,566x = 73,323,974,656
  5. Step 5: Solve for x
    x = 73,323,974,656/120,566
  6. Step 6: Final answer
    x = 608,164.61

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Why These Related Problems?

These problems maintain the same ratio (2.25) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.