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Finding the Third Proportional to 136,672 and 280,148

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Solution

The third proportional to 136,672 and 280,148 is: 574,242.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,672 : 280,148 = 280,148 : x
  2. Step 2: Convert to fraction form
    136,672/280,148 = 280,148/x
  3. Step 3: Cross multiply
    136,672x = 280,148 × 280,148
  4. Step 4: Simplify right side
    136,672x = 78,482,901,904
  5. Step 5: Solve for x
    x = 78,482,901,904/136,672
  6. Step 6: Final answer
    x = 574,242.73

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.