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Finding the Third Proportional to 231,034.50 and 465,502.50

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Solution

The third proportional to 231,034.50 and 465,502.50 is: 937,923.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,034.50 : 465,502.50 = 465,502.50 : x
  2. Step 2: Convert to fraction form
    231,034.50/465,502.50 = 465,502.50/x
  3. Step 3: Cross multiply
    231,034.50x = 465,502.50 × 465,502.50
  4. Step 4: Simplify right side
    231,034.50x = 216,692,577,506.25
  5. Step 5: Solve for x
    x = 216,692,577,506.25/231,034.50
  6. Step 6: Final answer
    x = 937,923.03

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Why These Related Problems?

These problems maintain the same ratio (2.01) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.