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Finding the Third Proportional to 143,982 and 314,167.50

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Solution

The third proportional to 143,982 and 314,167.50 is: 685,510.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,982 : 314,167.50 = 314,167.50 : x
  2. Step 2: Convert to fraction form
    143,982/314,167.50 = 314,167.50/x
  3. Step 3: Cross multiply
    143,982x = 314,167.50 × 314,167.50
  4. Step 4: Simplify right side
    143,982x = 98,701,218,056.25
  5. Step 5: Solve for x
    x = 98,701,218,056.25/143,982
  6. Step 6: Final answer
    x = 685,510.81

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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.