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Finding the Third Proportional to 142,465.50 and 221,469.25

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Solution

The third proportional to 142,465.50 and 221,469.25 is: 344,284.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,465.50 : 221,469.25 = 221,469.25 : x
  2. Step 2: Convert to fraction form
    142,465.50/221,469.25 = 221,469.25/x
  3. Step 3: Cross multiply
    142,465.50x = 221,469.25 × 221,469.25
  4. Step 4: Simplify right side
    142,465.50x = 49,048,628,695.56
  5. Step 5: Solve for x
    x = 49,048,628,695.56/142,465.50
  6. Step 6: Final answer
    x = 344,284.26

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