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Finding the Third Proportional to 136,856 and 282,896

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Solution

The third proportional to 136,856 and 282,896 is: 584,776.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,856 : 282,896 = 282,896 : x
  2. Step 2: Convert to fraction form
    136,856/282,896 = 282,896/x
  3. Step 3: Cross multiply
    136,856x = 282,896 × 282,896
  4. Step 4: Simplify right side
    136,856x = 80,030,146,816
  5. Step 5: Solve for x
    x = 80,030,146,816/136,856
  6. Step 6: Final answer
    x = 584,776.31

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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.