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Finding the Third Proportional to 230,854 and 360,859

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Solution

The third proportional to 230,854 and 360,859 is: 564,076.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,854 : 360,859 = 360,859 : x
  2. Step 2: Convert to fraction form
    230,854/360,859 = 360,859/x
  3. Step 3: Cross multiply
    230,854x = 360,859 × 360,859
  4. Step 4: Simplify right side
    230,854x = 130,219,217,881
  5. Step 5: Solve for x
    x = 130,219,217,881/230,854
  6. Step 6: Final answer
    x = 564,076.07

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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.