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Finding the Third Proportional to 230,878 and 360,896

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Solution

The third proportional to 230,878 and 360,896 is: 564,133.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,878 : 360,896 = 360,896 : x
  2. Step 2: Convert to fraction form
    230,878/360,896 = 360,896/x
  3. Step 3: Cross multiply
    230,878x = 360,896 × 360,896
  4. Step 4: Simplify right side
    230,878x = 130,245,922,816
  5. Step 5: Solve for x
    x = 130,245,922,816/230,878
  6. Step 6: Final answer
    x = 564,133.10

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.