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Finding the Third Proportional to 140,460.75 and 300,604.50

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Solution

The third proportional to 140,460.75 and 300,604.50 is: 643,333.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,460.75 : 300,604.50 = 300,604.50 : x
  2. Step 2: Convert to fraction form
    140,460.75/300,604.50 = 300,604.50/x
  3. Step 3: Cross multiply
    140,460.75x = 300,604.50 × 300,604.50
  4. Step 4: Simplify right side
    140,460.75x = 90,363,065,420.25
  5. Step 5: Solve for x
    x = 90,363,065,420.25/140,460.75
  6. Step 6: Final answer
    x = 643,333.21

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.