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Finding the Third Proportional to 136,704 and 282,816

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Solution

The third proportional to 136,704 and 282,816 is: 585,095.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,704 : 282,816 = 282,816 : x
  2. Step 2: Convert to fraction form
    136,704/282,816 = 282,816/x
  3. Step 3: Cross multiply
    136,704x = 282,816 × 282,816
  4. Step 4: Simplify right side
    136,704x = 79,984,889,856
  5. Step 5: Solve for x
    x = 79,984,889,856/136,704
  6. Step 6: Final answer
    x = 585,095.46

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.