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Finding the Third Proportional to 143,510.50 and 312,855.50

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Solution

The third proportional to 143,510.50 and 312,855.50 is: 682,030.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,510.50 : 312,855.50 = 312,855.50 : x
  2. Step 2: Convert to fraction form
    143,510.50/312,855.50 = 312,855.50/x
  3. Step 3: Cross multiply
    143,510.50x = 312,855.50 × 312,855.50
  4. Step 4: Simplify right side
    143,510.50x = 97,878,563,880.25
  5. Step 5: Solve for x
    x = 97,878,563,880.25/143,510.50
  6. Step 6: Final answer
    x = 682,030.68

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.