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Finding the Third Proportional to 230,873 and 360,890

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Solution

The third proportional to 230,873 and 360,890 is: 564,126.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,873 : 360,890 = 360,890 : x
  2. Step 2: Convert to fraction form
    230,873/360,890 = 360,890/x
  3. Step 3: Cross multiply
    230,873x = 360,890 × 360,890
  4. Step 4: Simplify right side
    230,873x = 130,241,592,100
  5. Step 5: Solve for x
    x = 130,241,592,100/230,873
  6. Step 6: Final answer
    x = 564,126.56

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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.