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Finding the Third Proportional to 136,440 and 287,019

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Solution

The third proportional to 136,440 and 287,019 is: 603,781.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,440 : 287,019 = 287,019 : x
  2. Step 2: Convert to fraction form
    136,440/287,019 = 287,019/x
  3. Step 3: Cross multiply
    136,440x = 287,019 × 287,019
  4. Step 4: Simplify right side
    136,440x = 82,379,906,361
  5. Step 5: Solve for x
    x = 82,379,906,361/136,440
  6. Step 6: Final answer
    x = 603,781.20

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Why These Related Problems?

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