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Finding the Third Proportional to 142,610.63 and 220,051.69

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Solution

The third proportional to 142,610.63 and 220,051.69 is: 339,545.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,610.63 : 220,051.69 = 220,051.69 : x
  2. Step 2: Convert to fraction form
    142,610.63/220,051.69 = 220,051.69/x
  3. Step 3: Cross multiply
    142,610.63x = 220,051.69 × 220,051.69
  4. Step 4: Simplify right side
    142,610.63x = 48,422,745,171.60
  5. Step 5: Solve for x
    x = 48,422,745,171.60/142,610.63
  6. Step 6: Final answer
    x = 339,545.14

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.