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Finding the Third Proportional to 231,460 and 360,722

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Solution

The third proportional to 231,460 and 360,722 is: 562,172.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,460 : 360,722 = 360,722 : x
  2. Step 2: Convert to fraction form
    231,460/360,722 = 360,722/x
  3. Step 3: Cross multiply
    231,460x = 360,722 × 360,722
  4. Step 4: Simplify right side
    231,460x = 130,120,361,284
  5. Step 5: Solve for x
    x = 130,120,361,284/231,460
  6. Step 6: Final answer
    x = 562,172.13

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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.