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Finding the Third Proportional to 65,971 and 155,576.50

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Solution

The third proportional to 65,971 and 155,576.50 is: 366,889.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,971 : 155,576.50 = 155,576.50 : x
  2. Step 2: Convert to fraction form
    65,971/155,576.50 = 155,576.50/x
  3. Step 3: Cross multiply
    65,971x = 155,576.50 × 155,576.50
  4. Step 4: Simplify right side
    65,971x = 24,204,047,352.25
  5. Step 5: Solve for x
    x = 24,204,047,352.25/65,971
  6. Step 6: Final answer
    x = 366,889.20

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.