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Finding the Third Proportional to 142,071 and 220,576.50

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Solution

The third proportional to 142,071 and 220,576.50 is: 342,462.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,071 : 220,576.50 = 220,576.50 : x
  2. Step 2: Convert to fraction form
    142,071/220,576.50 = 220,576.50/x
  3. Step 3: Cross multiply
    142,071x = 220,576.50 × 220,576.50
  4. Step 4: Simplify right side
    142,071x = 48,653,992,352.25
  5. Step 5: Solve for x
    x = 48,653,992,352.25/142,071
  6. Step 6: Final answer
    x = 342,462.52

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.