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Finding the Third Proportional to 231,639.75 and 360,986.63

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Solution

The third proportional to 231,639.75 and 360,986.63 is: 562,560.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,639.75 : 360,986.63 = 360,986.63 : x
  2. Step 2: Convert to fraction form
    231,639.75/360,986.63 = 360,986.63/x
  3. Step 3: Cross multiply
    231,639.75x = 360,986.63 × 360,986.63
  4. Step 4: Simplify right side
    231,639.75x = 130,311,343,428.89
  5. Step 5: Solve for x
    x = 130,311,343,428.89/231,639.75
  6. Step 6: Final answer
    x = 562,560.37

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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.