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Finding the Third Proportional to 70,435.50 and 152,812.50

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Solution

The third proportional to 70,435.50 and 152,812.50 is: 331,532.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,435.50 : 152,812.50 = 152,812.50 : x
  2. Step 2: Convert to fraction form
    70,435.50/152,812.50 = 152,812.50/x
  3. Step 3: Cross multiply
    70,435.50x = 152,812.50 × 152,812.50
  4. Step 4: Simplify right side
    70,435.50x = 23,351,660,156.25
  5. Step 5: Solve for x
    x = 23,351,660,156.25/70,435.50
  6. Step 6: Final answer
    x = 331,532.54

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.