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Finding the Third Proportional to 231,450 and 360,708

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Solution

The third proportional to 231,450 and 360,708 is: 562,152.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,450 : 360,708 = 360,708 : x
  2. Step 2: Convert to fraction form
    231,450/360,708 = 360,708/x
  3. Step 3: Cross multiply
    231,450x = 360,708 × 360,708
  4. Step 4: Simplify right side
    231,450x = 130,110,261,264
  5. Step 5: Solve for x
    x = 130,110,261,264/231,450
  6. Step 6: Final answer
    x = 562,152.78

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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.