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Finding the Third Proportional to 70,155 and 150,271.50

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Solution

The third proportional to 70,155 and 150,271.50 is: 321,880.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,155 : 150,271.50 = 150,271.50 : x
  2. Step 2: Convert to fraction form
    70,155/150,271.50 = 150,271.50/x
  3. Step 3: Cross multiply
    70,155x = 150,271.50 × 150,271.50
  4. Step 4: Simplify right side
    70,155x = 22,581,523,712.25
  5. Step 5: Solve for x
    x = 22,581,523,712.25/70,155
  6. Step 6: Final answer
    x = 321,880.46

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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.