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Finding the Third Proportional to 201,139.50 and 440,683

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Solution

The third proportional to 201,139.50 and 440,683 is: 965,506.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,139.50 : 440,683 = 440,683 : x
  2. Step 2: Convert to fraction form
    201,139.50/440,683 = 440,683/x
  3. Step 3: Cross multiply
    201,139.50x = 440,683 × 440,683
  4. Step 4: Simplify right side
    201,139.50x = 194,201,506,489
  5. Step 5: Solve for x
    x = 194,201,506,489/201,139.50
  6. Step 6: Final answer
    x = 965,506.56

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.