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Finding the Third Proportional to 230,872 and 360,888

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Solution

The third proportional to 230,872 and 360,888 is: 564,122.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,872 : 360,888 = 360,888 : x
  2. Step 2: Convert to fraction form
    230,872/360,888 = 360,888/x
  3. Step 3: Cross multiply
    230,872x = 360,888 × 360,888
  4. Step 4: Simplify right side
    230,872x = 130,240,148,544
  5. Step 5: Solve for x
    x = 130,240,148,544/230,872
  6. Step 6: Final answer
    x = 564,122.75

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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.