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Finding the Third Proportional to 142,303.50 and 300,280.50

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Solution

The third proportional to 142,303.50 and 300,280.50 is: 633,634.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,303.50 : 300,280.50 = 300,280.50 : x
  2. Step 2: Convert to fraction form
    142,303.50/300,280.50 = 300,280.50/x
  3. Step 3: Cross multiply
    142,303.50x = 300,280.50 × 300,280.50
  4. Step 4: Simplify right side
    142,303.50x = 90,168,378,680.25
  5. Step 5: Solve for x
    x = 90,168,378,680.25/142,303.50
  6. Step 6: Final answer
    x = 633,634.30

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.